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

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


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

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

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

Combine like terms: 7x + -2x = 5x
-4 + 5x = 8x + -2(x + -1)

Reorder the terms:
-4 + 5x = 8x + -2(-1 + x)
-4 + 5x = 8x + (-1 * -2 + x * -2)
-4 + 5x = 8x + (2 + -2x)

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

Combine like terms: 8x + -2x = 6x
-4 + 5x = 2 + 6x

Solving
-4 + 5x = 2 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-4 + 5x + -6x = 2 + 6x + -6x

Combine like terms: 5x + -6x = -1x
-4 + -1x = 2 + 6x + -6x

Combine like terms: 6x + -6x = 0
-4 + -1x = 2 + 0
-4 + -1x = 2

Add '4' to each side of the equation.
-4 + 4 + -1x = 2 + 4

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

Combine like terms: 2 + 4 = 6
-1x = 6

Divide each side by '-1'.
x = -6

Simplifying
x = -6

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