7x-2(x-1)=8x-4(x+3)

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Solution for 7x-2(x-1)=8x-4(x+3) equation:


Simplifying
7x + -2(x + -1) = 8x + -4(x + 3)

Reorder the terms:
7x + -2(-1 + x) = 8x + -4(x + 3)
7x + (-1 * -2 + x * -2) = 8x + -4(x + 3)
7x + (2 + -2x) = 8x + -4(x + 3)

Reorder the terms:
2 + 7x + -2x = 8x + -4(x + 3)

Combine like terms: 7x + -2x = 5x
2 + 5x = 8x + -4(x + 3)

Reorder the terms:
2 + 5x = 8x + -4(3 + x)
2 + 5x = 8x + (3 * -4 + x * -4)
2 + 5x = 8x + (-12 + -4x)

Reorder the terms:
2 + 5x = -12 + 8x + -4x

Combine like terms: 8x + -4x = 4x
2 + 5x = -12 + 4x

Solving
2 + 5x = -12 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
2 + 5x + -4x = -12 + 4x + -4x

Combine like terms: 5x + -4x = 1x
2 + 1x = -12 + 4x + -4x

Combine like terms: 4x + -4x = 0
2 + 1x = -12 + 0
2 + 1x = -12

Add '-2' to each side of the equation.
2 + -2 + 1x = -12 + -2

Combine like terms: 2 + -2 = 0
0 + 1x = -12 + -2
1x = -12 + -2

Combine like terms: -12 + -2 = -14
1x = -14

Divide each side by '1'.
x = -14

Simplifying
x = -14

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