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Solve: $(x+5)=7.$
Simplify each side of the equation as much as possible by distributing.
The only $x$ term is on the left side, so all variable terms are on the left side of the equation. 

Add 5 to both sides to get all constant terms on the right side of the equation.  
Simplify.  
Make the coefficient of the variable term equal to 1 by multiplying both sides by 1.  
Simplify.  
Check: Let $x=\mathrm{12}$ .  

Solve: $4(x2)+5=\mathrm{3}.$
Simplify each side of the equation as much as possible.
Distribute. 

Combine like terms  
The only $x$ is on the left side, so all variable terms are on one side of the equation.  
Add 3 to both sides to get all constant terms on the other side of the equation.  
Simplify.  
Make the coefficient of the variable term equal to 1 by dividing both sides by 4.  
Simplify.  
Check: Let $x=0$ .  
Solve: $82(3y+5)=0.$
Be careful when distributing the negative.
Simplify—use the Distributive Property.  
Combine like terms.  
Add 2 to both sides to collect constants on the right.  
Simplify.  
Divide both sides by −6.  
Simplify.  
Check: Let $y=\frac{1}{3}$ .  
Solve: $3(x2)5=4(2x+1)+5.$
Distribute.  
Combine like terms.  
Subtract $3x$ to get all the variables on the right since $8>3$ .  
Simplify.  
Subtract 9 to get the constants on the left.  
Simplify.  
Divide by 5.  
Simplify.  
Check: Substitute: $\mathrm{4}=x$ .  
Solve: $\frac{1}{2}(6x2)=5x.$
Distribute.  
Add $x$ to get all the variables on the left.  
Simplify.  
Add 1 to get constants on the right.  
Simplify.  
Divide by 4.  
Simplify.  
Check: Let $x=\frac{3}{2}$ .  
In many applications, we will have to solve equations with decimals. The same general strategy will work for these equations.
Solve: $0.24(100x+5)=0.4(30x+15).$
Distribute.  
Subtract $12x$ to get all the $x$ s to the left.  
Simplify.  
Subtract 1.2 to get the constants to the right.  
Simplify.  
Divide.  
Simplify.  
Check: Let $x=0.4$ .  
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