Solving Multi-Step Equations

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Algebra 1

One-Variable Equations

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Solving Multi-Step Equations 1.4 - Solution

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a

Subtract $6$ from both sides of the equation and then divide by $3.$

$3x+6 = 24$

SubEqn$\text{LHS}-6=\text{RHS}-6$

$3x= 18$

DivEqn$\left.\text{LHS}\middle/3\right.=\left.\text{RHS}\middle/3\right.$

$x = 6$

b

Add 9 to both sides of the equation and then multiply both sides by 2.

$\dfrac{y}{2}-9 = 1$

AddEqn$\text{LHS}+9=\text{RHS}+9$

$\dfrac{y}{2} = 10$

MultEqn$\text{LHS} \cdot 2=\text{RHS}\cdot 2$

$y = 20$