Solve 2(x+6)-7x=3x-5x+8

$$2 ( x + 6 ) - 7 x = 3 x - 5 x + 8$$

Solve for x

$$x = \frac{4}{3} = 1\frac{1}{3} \approx 1.333333333$$

Steps for Solving Linear Equation

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

$$2x+12-7x=3x-5x+8$$

Combine 2x and -7x to get -5x.

$$-5x+12=3x-5x+8$$

Combine 3x and -5x to get -2x.

$$-5x+12=-2x+8$$

Add 2x to both sides.

$$-5x+12+2x=8$$

Combine -5x and 2x to get -3x.

$$-3x+12=8$$

Subtract 12 from both sides.

$$-3x=8-12$$

Subtract 12 from 8 to get -4.

$$-3x=-4$$

Divide both sides by -3.

$$x=\frac{-4}{-3}$$

Fraction \frac{-4}{-3} can be simplified to \frac{4}{3} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{4}{3}$$