10x+4+8x+171=71+3x+4-10x

Solution for 10x+4+8x+171=71+3x+4-10x equation:

Simplifying
10x + 4 + 8x + 171 = 71 + 3x + 4 + -10x

Reorder the terms:
4 + 171 + 10x + 8x = 71 + 3x + 4 + -10x

Combine like terms: 4 + 171 = 175
175 + 10x + 8x = 71 + 3x + 4 + -10x

Combine like terms: 10x + 8x = 18x
175 + 18x = 71 + 3x + 4 + -10x

Reorder the terms:
175 + 18x = 71 + 4 + 3x + -10x

Combine like terms: 71 + 4 = 75
175 + 18x = 75 + 3x + -10x

Combine like terms: 3x + -10x = -7x
175 + 18x = 75 + -7x

Solving
175 + 18x = 75 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
175 + 18x + 7x = 75 + -7x + 7x

Combine like terms: 18x + 7x = 25x
175 + 25x = 75 + -7x + 7x

Combine like terms: -7x + 7x = 0
175 + 25x = 75 + 0
175 + 25x = 75

Add '-175' to each side of the equation.
175 + -175 + 25x = 75 + -175

Combine like terms: 175 + -175 = 0
0 + 25x = 75 + -175
25x = 75 + -175

Combine like terms: 75 + -175 = -100
25x = -100

Divide each side by '25'.
x = -4

Simplifying
x = -4