10(x+1)-6=2(x-3)-10

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Solution for 10(x+1)-6=2(x-3)-10 equation: 


Simplifying
10(x + 1) + -6 = 2(x + -3) + -10

Reorder the terms:
10(1 + x) + -6 = 2(x + -3) + -10
(1 * 10 + x * 10) + -6 = 2(x + -3) + -10
(10 + 10x) + -6 = 2(x + -3) + -10

Reorder the terms:
10 + -6 + 10x = 2(x + -3) + -10

Combine like terms: 10 + -6 = 4
4 + 10x = 2(x + -3) + -10

Reorder the terms:
4 + 10x = 2(-3 + x) + -10
4 + 10x = (-3 * 2 + x * 2) + -10
4 + 10x = (-6 + 2x) + -10

Reorder the terms:
4 + 10x = -6 + -10 + 2x

Combine like terms: -6 + -10 = -16
4 + 10x = -16 + 2x

Solving
4 + 10x = -16 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
4 + 10x + -2x = -16 + 2x + -2x

Combine like terms: 10x + -2x = 8x
4 + 8x = -16 + 2x + -2x

Combine like terms: 2x + -2x = 0
4 + 8x = -16 + 0
4 + 8x = -16

Add '-4' to each side of the equation.
4 + -4 + 8x = -16 + -4

Combine like terms: 4 + -4 = 0
0 + 8x = -16 + -4
8x = -16 + -4

Combine like terms: -16 + -4 = -20
8x = -20

Divide each side by '8'.
x = -2.5

Simplifying
x = -2.5

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