2(x+1)-10=-5(x+1)+5

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Solution for 2(x+1)-10=-5(x+1)+5 equation:


Simplifying
2(x + 1) + -10 = -5(x + 1) + 5

Reorder the terms:
2(1 + x) + -10 = -5(x + 1) + 5
(1 * 2 + x * 2) + -10 = -5(x + 1) + 5
(2 + 2x) + -10 = -5(x + 1) + 5

Reorder the terms:
2 + -10 + 2x = -5(x + 1) + 5

Combine like terms: 2 + -10 = -8
-8 + 2x = -5(x + 1) + 5

Reorder the terms:
-8 + 2x = -5(1 + x) + 5
-8 + 2x = (1 * -5 + x * -5) + 5
-8 + 2x = (-5 + -5x) + 5

Reorder the terms:
-8 + 2x = -5 + 5 + -5x

Combine like terms: -5 + 5 = 0
-8 + 2x = 0 + -5x
-8 + 2x = -5x

Solving
-8 + 2x = -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-8 + 2x + 5x = -5x + 5x

Combine like terms: 2x + 5x = 7x
-8 + 7x = -5x + 5x

Combine like terms: -5x + 5x = 0
-8 + 7x = 0

Add '8' to each side of the equation.
-8 + 8 + 7x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 7x = 0 + 8
7x = 0 + 8

Combine like terms: 0 + 8 = 8
7x = 8

Divide each side by '7'.
x = 1.142857143

Simplifying
x = 1.142857143

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