5(8x-42)=3-3(x+3)

Solution for 5(8x-42)=3-3(x+3) equation:

Simplifying
5(8x + -42) = 3 + -3(x + 3)

Reorder the terms:
5(-42 + 8x) = 3 + -3(x + 3)
(-42 * 5 + 8x * 5) = 3 + -3(x + 3)
(-210 + 40x) = 3 + -3(x + 3)

Reorder the terms:
-210 + 40x = 3 + -3(3 + x)
-210 + 40x = 3 + (3 * -3 + x * -3)
-210 + 40x = 3 + (-9 + -3x)

Combine like terms: 3 + -9 = -6
-210 + 40x = -6 + -3x

Solving
-210 + 40x = -6 + -3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3x' to each side of the equation.
-210 + 40x + 3x = -6 + -3x + 3x

Combine like terms: 40x + 3x = 43x
-210 + 43x = -6 + -3x + 3x

Combine like terms: -3x + 3x = 0
-210 + 43x = -6 + 0
-210 + 43x = -6

Add '210' to each side of the equation.
-210 + 210 + 43x = -6 + 210

Combine like terms: -210 + 210 = 0
0 + 43x = -6 + 210
43x = -6 + 210

Combine like terms: -6 + 210 = 204
43x = 204

Divide each side by '43'.
x = 4.744186047

Simplifying
x = 4.744186047