2x-(x-2)=7x-4(2+x)

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Solution for 2x-(x-2)=7x-4(2+x) equation: 


Simplifying
2x + -1(x + -2) = 7x + -4(2 + x)

Reorder the terms:
2x + -1(-2 + x) = 7x + -4(2 + x)
2x + (-2 * -1 + x * -1) = 7x + -4(2 + x)
2x + (2 + -1x) = 7x + -4(2 + x)

Reorder the terms:
2 + 2x + -1x = 7x + -4(2 + x)

Combine like terms: 2x + -1x = 1x
2 + 1x = 7x + -4(2 + x)
2 + 1x = 7x + (2 * -4 + x * -4)
2 + 1x = 7x + (-8 + -4x)

Reorder the terms:
2 + 1x = -8 + 7x + -4x

Combine like terms: 7x + -4x = 3x
2 + 1x = -8 + 3x

Solving
2 + 1x = -8 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
2 + 1x + -3x = -8 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
2 + -2x = -8 + 0
2 + -2x = -8

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

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

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

Divide each side by '-2'.
x = 5

Simplifying
x = 5

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