Solve 2(3x-2)-5x=2(x-3)+90 | 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

$$2(3x-2)-5x=2(x-3)+90$$

Solve for x

$x=-88$

Steps for Solving Linear Equation

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

$$6x-4-5x=2\left(x-3\right)+90$$

Combine $6x$ and $-5x$ to get $x$.

$$x-4=2\left(x-3\right)+90$$

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

$$x-4=2x-6+90$$

Add $-6$ and $90$ to get $84$.

$$x-4=2x+84$$

Subtract $2x$ from both sides.

$$x-4-2x=84$$

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

$$-x-4=84$$

Add $4$ to both sides.

$$-x=84+4$$

Add $84$ and $4$ to get $88$.

$$-x=88$$

Multiply both sides by $-1$.

$$x=-88$$