3-2x+x-7=8(3x+2)-5(6x+4)

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Solution for 3-2x+x-7=8(3x+2)-5(6x+4) equation:


Simplifying
3 + -2x + x + -7 = 8(3x + 2) + -5(6x + 4)

Reorder the terms:
3 + -7 + -2x + x = 8(3x + 2) + -5(6x + 4)

Combine like terms: 3 + -7 = -4
-4 + -2x + x = 8(3x + 2) + -5(6x + 4)

Combine like terms: -2x + x = -1x
-4 + -1x = 8(3x + 2) + -5(6x + 4)

Reorder the terms:
-4 + -1x = 8(2 + 3x) + -5(6x + 4)
-4 + -1x = (2 * 8 + 3x * 8) + -5(6x + 4)
-4 + -1x = (16 + 24x) + -5(6x + 4)

Reorder the terms:
-4 + -1x = 16 + 24x + -5(4 + 6x)
-4 + -1x = 16 + 24x + (4 * -5 + 6x * -5)
-4 + -1x = 16 + 24x + (-20 + -30x)

Reorder the terms:
-4 + -1x = 16 + -20 + 24x + -30x

Combine like terms: 16 + -20 = -4
-4 + -1x = -4 + 24x + -30x

Combine like terms: 24x + -30x = -6x
-4 + -1x = -4 + -6x

Add '4' to each side of the equation.
-4 + 4 + -1x = -4 + 4 + -6x

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

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

Solving
-1x = -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.
-1x + 6x = -6x + 6x

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

Combine like terms: -6x + 6x = 0
5x = 0

Divide each side by '5'.
x = 0

Simplifying
x = 0

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