Solve -7left(0.3x-8right)+3left(0.4x+5right)=8

$$-7 \left( 0.3x-8 \right) +3 \left( 0.4x+5 \right) = 8$$

Solve for x

$$x=70$$

Steps for Solving Linear Equation

Use the distributive property to multiply -7 by 0.3x-8.

$$-2.1x+56+3\left(0.4x+5\right)=8$$

Use the distributive property to multiply 3 by 0.4x+5.

$$-2.1x+56+1.2x+15=8$$

Combine -2.1x and 1.2x to get -0.9x.

$$-0.9x+56+15=8$$

Add 56 and 15 to get 71.

$$-0.9x+71=8$$

Subtract 71 from both sides.

$$-0.9x=8-71$$

Subtract 71 from 8 to get -63.

$$-0.9x=-63$$

Divide both sides by -0.9.

$$x=\frac{-63}{-0.9}$$

Expand \frac{-63}{-0.9} by multiplying both numerator and the denominator by 10.

$$x=\frac{-630}{-9}$$

Divide -630 by -9 to get 70.

$$x=70$$