Solve 2(2x - 3) - 3(4x + 5) = 4(3x + 2) - 11 | 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

$$2(2x-3)-3(4x+5)=4(3x+2)-11$$

Solve for x

$x=-\frac{9}{10}=-0.9$

Steps for Solving Linear Equation

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

$$4x-6-3\left(4x+5\right)=4\left(3x+2\right)-11$$

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

$$4x-6-12x-15=4\left(3x+2\right)-11$$

Combine $4x$ and $-12x$ to get $-8x$.

$$-8x-6-15=4\left(3x+2\right)-11$$

Subtract $15$ from $-6$ to get $-21$.

$$-8x-21=4\left(3x+2\right)-11$$

Use the distributive property to multiply $4$ by $3x+2$.

$$-8x-21=12x+8-11$$

Subtract $11$ from $8$ to get $-3$.

$$-8x-21=12x-3$$

Subtract $12x$ from both sides.

$$-8x-21-12x=-3$$

Combine $-8x$ and $-12x$ to get $-20x$.

$$-20x-21=-3$$

Add $21$ to both sides.

$$-20x=-3+21$$

Add $-3$ and $21$ to get $18$.

$$-20x=18$$

Divide both sides by $-20$.

$$x=\frac{18}{-20}$$

Reduce the fraction $\frac{18}{-20}$ to lowest terms by extracting and canceling out $2$.

$$x=-\frac{9}{10}$$