Solve -13+5(x-2)+3(2x+5)=4(2x-6)+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

$$-13+5(x-2)+3(2x+5)=4(2x-6)+1$$

Solve for x

$x=-5$

Steps for Solving Linear Equation

Use the distributive property to multiply $5$ by $x-2$.

$$-13+5x-10+3\left(2x+5\right)=4\left(2x-6\right)+1$$

Subtract $10$ from $-13$ to get $-23$.

$$-23+5x+3\left(2x+5\right)=4\left(2x-6\right)+1$$

Use the distributive property to multiply $3$ by $2x+5$.

$$-23+5x+6x+15=4\left(2x-6\right)+1$$

Combine $5x$ and $6x$ to get $11x$.

$$-23+11x+15=4\left(2x-6\right)+1$$

Add $-23$ and $15$ to get $-8$.

$$-8+11x=4\left(2x-6\right)+1$$

Use the distributive property to multiply $4$ by $2x-6$.

$$-8+11x=8x-24+1$$

Add $-24$ and $1$ to get $-23$.

$$-8+11x=8x-23$$

Subtract $8x$ from both sides.

$$-8+11x-8x=-23$$

Combine $11x$ and $-8x$ to get $3x$.

$$-8+3x=-23$$

Add $8$ to both sides.

$$3x=-23+8$$

Add $-23$ and $8$ to get $-15$.

$$3x=-15$$

Divide both sides by $3$.

$$x=\frac{-15}{3}$$

Divide $-15$ by $3$ to get $-5$.

$$x=-5$$