Solve (9) 3x - 4(4x + 6) = 6x + 2(2x + 6) | 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

$$3 x - 4 ( 4 x + 6 ) = 6 x + 2 ( 2 x + 6 )$$

Solve for x

$x = -\frac{36}{23} = -1\frac{13}{23} \approx -1.565217391$

Steps for Solving Linear Equation

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

$$3x-16x-24=6x+2\left(2x+6\right)$$

Combine $3x$ and $-16x$ to get $-13x$.

$$-13x-24=6x+2\left(2x+6\right)$$

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

$$-13x-24=6x+4x+12$$

Combine $6x$ and $4x$ to get $10x$.

$$-13x-24=10x+12$$

Subtract $10x$ from both sides.

$$-13x-24-10x=12$$

Combine $-13x$ and $-10x$ to get $-23x$.

$$-23x-24=12$$

Add $24$ to both sides.

$$-23x=12+24$$

Add $12$ and $24$ to get $36$.

$$-23x=36$$

Divide both sides by $-23$.

$$x=\frac{36}{-23}$$

Fraction $\frac{36}{-23}$ can be rewritten as $-\frac{36}{23}$ by extracting the negative sign.

$$x=-\frac{36}{23}$$