Solve -8(2x-5)+3x=4(x+7)-10

$$- 8 ( 2 x - 5 ) + 3 x = 4 ( x + 7 ) - 10$$

Solve for x

$$x = \frac{22}{17} = 1\frac{5}{17} \approx 1.294117647$$

Steps for Solving Linear Equation

Use the distributive property to multiply -8 by 2x-5.

$$-16x+40+3x=4\left(x+7\right)-10$$

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

$$-13x+40=4\left(x+7\right)-10$$

Use the distributive property to multiply 4 by x+7.

$$-13x+40=4x+28-10$$

Subtract 10 from 28 to get 18.

$$-13x+40=4x+18$$

Subtract 4x from both sides.

$$-13x+40-4x=18$$

Combine -13x and -4x to get -17x.

$$-17x+40=18$$

Subtract 40 from both sides.

$$-17x=18-40$$

Subtract 40 from 18 to get -22.

$$-17x=-22$$

Divide both sides by -17.

$$x=\frac{-22}{-17}$$

Fraction \frac{-22}{-17} can be simplified to \frac{22}{17} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{22}{17}$$