Solve -3left(2-xright)+3left(x+6right)=10-4left(6+4xright)

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

Solve for x

$$x = -\frac{13}{11} = -1\frac{2}{11} \approx -1.181818182$$

Steps for Solving Linear Equation

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

$$-6+3x+3\left(x+6\right)=10-4\left(6+4x\right)$$

Use the distributive property to multiply 3 by x+6.

$$-6+3x+3x+18=10-4\left(6+4x\right)$$

Combine 3x and 3x to get 6x.

$$-6+6x+18=10-4\left(6+4x\right)$$

Add -6 and 18 to get 12.

$$12+6x=10-4\left(6+4x\right)$$

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

$$12+6x=10-24-16x$$

Subtract 24 from 10 to get -14.

$$12+6x=-14-16x$$

Add 16x to both sides.

$$12+6x+16x=-14$$

Combine 6x and 16x to get 22x.

$$12+22x=-14$$

Subtract 12 from both sides.

$$22x=-14-12$$

Subtract 12 from -14 to get -26.

$$22x=-26$$

Divide both sides by 22.

$$x=\frac{-26}{22}$$

Reduce the fraction \frac{-26}{22} to lowest terms by extracting and canceling out 2.

$$x=-\frac{13}{11}$$