Solve 2(x - 3) - 7 = 6 - 5(x + 1) | 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

$$2(x-3)-7=6-5(x+1)$$

Solve for x

$x=2$

Steps for Solving Linear Equation

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

$$2x-6-7=6-5\left(x+1\right)$$

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

$$2x-13=6-5\left(x+1\right)$$

Use the distributive property to multiply $-5$ by $x+1$.

$$2x-13=6-5x-5$$

Subtract $5$ from $6$ to get $1$.

$$2x-13=1-5x$$

Add $5x$ to both sides.

$$2x-13+5x=1$$

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

$$7x-13=1$$

Add $13$ to both sides.

$$7x=1+13$$

Add $1$ and $13$ to get $14$.

$$7x=14$$

Divide both sides by $7$.

$$x=\frac{14}{7}$$

Divide $14$ by $7$ to get $2$.

$$x=2$$