2(x+5)-3=x-2(-4+x)

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Solution for 2(x+5)-3=x-2(-4+x) equation:


Simplifying
2(x + 5) + -3 = x + -2(-4 + x)

Reorder the terms:
2(5 + x) + -3 = x + -2(-4 + x)
(5 * 2 + x * 2) + -3 = x + -2(-4 + x)
(10 + 2x) + -3 = x + -2(-4 + x)

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

Combine like terms: 10 + -3 = 7
7 + 2x = x + -2(-4 + x)
7 + 2x = x + (-4 * -2 + x * -2)
7 + 2x = x + (8 + -2x)

Reorder the terms:
7 + 2x = 8 + x + -2x

Combine like terms: x + -2x = -1x
7 + 2x = 8 + -1x

Solving
7 + 2x = 8 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
7 + 2x + x = 8 + -1x + x

Combine like terms: 2x + x = 3x
7 + 3x = 8 + -1x + x

Combine like terms: -1x + x = 0
7 + 3x = 8 + 0
7 + 3x = 8

Add '-7' to each side of the equation.
7 + -7 + 3x = 8 + -7

Combine like terms: 7 + -7 = 0
0 + 3x = 8 + -7
3x = 8 + -7

Combine like terms: 8 + -7 = 1
3x = 1

Divide each side by '3'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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