Solve 6 - 2(2x - 3) = 5(3 - x) + 2x | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$6-2(2x-3)=5(3-x)+2x$$

Solve for x

$x=-3$

Steps for Solving Linear Equation

Use the distributive property to multiply $-2$ by $2x-3$.

$$6-4x+6=5\left(3-x\right)+2x$$

Add $6$ and $6$ to get $12$.

$$12-4x=5\left(3-x\right)+2x$$

Use the distributive property to multiply $5$ by $3-x$.

$$12-4x=15-5x+2x$$

Combine $-5x$ and $2x$ to get $-3x$.

$$12-4x=15-3x$$

Add $3x$ to both sides.

$$12-4x+3x=15$$

Combine $-4x$ and $3x$ to get $-x$.

$$12-x=15$$

Subtract $12$ from both sides.

$$-x=15-12$$

Subtract $12$ from $15$ to get $3$.

$$-x=3$$

Multiply both sides by $-1$.

$$x=-3$$