2(x+5)-4x+5=10x-4(2x-2)

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Solution for 2(x+5)-4x+5=10x-4(2x-2) equation:


Simplifying
2(x + 5) + -4x + 5 = 10x + -4(2x + -2)

Reorder the terms:
2(5 + x) + -4x + 5 = 10x + -4(2x + -2)
(5 * 2 + x * 2) + -4x + 5 = 10x + -4(2x + -2)
(10 + 2x) + -4x + 5 = 10x + -4(2x + -2)

Reorder the terms:
10 + 5 + 2x + -4x = 10x + -4(2x + -2)

Combine like terms: 10 + 5 = 15
15 + 2x + -4x = 10x + -4(2x + -2)

Combine like terms: 2x + -4x = -2x
15 + -2x = 10x + -4(2x + -2)

Reorder the terms:
15 + -2x = 10x + -4(-2 + 2x)
15 + -2x = 10x + (-2 * -4 + 2x * -4)
15 + -2x = 10x + (8 + -8x)

Reorder the terms:
15 + -2x = 8 + 10x + -8x

Combine like terms: 10x + -8x = 2x
15 + -2x = 8 + 2x

Solving
15 + -2x = 8 + 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.
15 + -2x + -2x = 8 + 2x + -2x

Combine like terms: -2x + -2x = -4x
15 + -4x = 8 + 2x + -2x

Combine like terms: 2x + -2x = 0
15 + -4x = 8 + 0
15 + -4x = 8

Add '-15' to each side of the equation.
15 + -15 + -4x = 8 + -15

Combine like terms: 15 + -15 = 0
0 + -4x = 8 + -15
-4x = 8 + -15

Combine like terms: 8 + -15 = -7
-4x = -7

Divide each side by '-4'.
x = 1.75

Simplifying
x = 1.75

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