Solve 7(2x-1)-5(3x+4)=-2(x+13) | 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

$$7(2x-1)-5(3x+4)=-2(x+13)$$

Solve for x

$x=1$

Steps for Solving Linear Equation

Use the distributive property to multiply $7$ by $2x-1$.

$$14x-7-5\left(3x+4\right)=-2\left(x+13\right)$$

Use the distributive property to multiply $-5$ by $3x+4$.

$$14x-7-15x-20=-2\left(x+13\right)$$

Combine $14x$ and $-15x$ to get $-x$.

$$-x-7-20=-2\left(x+13\right)$$

Subtract $20$ from $-7$ to get $-27$.

$$-x-27=-2\left(x+13\right)$$

Use the distributive property to multiply $-2$ by $x+13$.

$$-x-27=-2x-26$$

Add $2x$ to both sides.

$$-x-27+2x=-26$$

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

$$x-27=-26$$

Add $27$ to both sides.

$$x=-26+27$$

Add $-26$ and $27$ to get $1$.

$$x=1$$