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 = 9x
4 + 9x = 8x + -2(x + -1)

Reorder the terms:
4 + 9x = 8x + -2(-1 + x)
4 + 9x = 8x + (-1 * -2 + x * -2)
4 + 9x = 8x + (2 + -2x)

Reorder the terms:
4 + 9x = 2 + 8x + -2x

Combine like terms: 8x + -2x = 6x
4 + 9x = 2 + 6x

Solving
4 + 9x = 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 + 9x + -6x = 2 + 6x + -6x

Combine like terms: 9x + -6x = 3x
4 + 3x = 2 + 6x + -6x

Combine like terms: 6x + -6x = 0
4 + 3x = 2 + 0
4 + 3x = 2

Add '-4' to each side of the equation.
4 + -4 + 3x = 2 + -4

Combine like terms: 4 + -4 = 0
0 + 3x = 2 + -4
3x = 2 + -4

Combine like terms: 2 + -4 = -2
3x = -2

Divide each side by '3'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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