Solve (5x-7)+2(x-3)=2(x-2)+(3x-3) | 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

$$(5x-7)+2(x-3)=2(x-2)+(3x-3)$$

Solve for x

$x=3$

Steps for Solving Linear Equation

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

$$5x-7+2x-6=2\left(x-2\right)+3x-3$$

Combine $5x$ and $2x$ to get $7x$.

$$7x-7-6=2\left(x-2\right)+3x-3$$

Subtract $6$ from $-7$ to get $-13$.

$$7x-13=2\left(x-2\right)+3x-3$$

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

$$7x-13=2x-4+3x-3$$

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

$$7x-13=5x-4-3$$

Subtract $3$ from $-4$ to get $-7$.

$$7x-13=5x-7$$

Subtract $5x$ from both sides.

$$7x-13-5x=-7$$

Combine $7x$ and $-5x$ to get $2x$.

$$2x-13=-7$$

Add $13$ to both sides.

$$2x=-7+13$$

Add $-7$ and $13$ to get $6$.

$$2x=6$$

Divide both sides by $2$.

$$x=\frac{6}{2}$$

Divide $6$ by $2$ to get $3$.

$$x=3$$