-3x+10-7x+20x+6=16x+2-5x-3x+10-2x

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Solution for -3x+10-7x+20x+6=16x+2-5x-3x+10-2x equation:


Simplifying
-3x + 10 + -7x + 20x + 6 = 16x + 2 + -5x + -3x + 10 + -2x

Reorder the terms:
10 + 6 + -3x + -7x + 20x = 16x + 2 + -5x + -3x + 10 + -2x

Combine like terms: 10 + 6 = 16
16 + -3x + -7x + 20x = 16x + 2 + -5x + -3x + 10 + -2x

Combine like terms: -3x + -7x = -10x
16 + -10x + 20x = 16x + 2 + -5x + -3x + 10 + -2x

Combine like terms: -10x + 20x = 10x
16 + 10x = 16x + 2 + -5x + -3x + 10 + -2x

Reorder the terms:
16 + 10x = 2 + 10 + 16x + -5x + -3x + -2x

Combine like terms: 2 + 10 = 12
16 + 10x = 12 + 16x + -5x + -3x + -2x

Combine like terms: 16x + -5x = 11x
16 + 10x = 12 + 11x + -3x + -2x

Combine like terms: 11x + -3x = 8x
16 + 10x = 12 + 8x + -2x

Combine like terms: 8x + -2x = 6x
16 + 10x = 12 + 6x

Solving
16 + 10x = 12 + 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.
16 + 10x + -6x = 12 + 6x + -6x

Combine like terms: 10x + -6x = 4x
16 + 4x = 12 + 6x + -6x

Combine like terms: 6x + -6x = 0
16 + 4x = 12 + 0
16 + 4x = 12

Add '-16' to each side of the equation.
16 + -16 + 4x = 12 + -16

Combine like terms: 16 + -16 = 0
0 + 4x = 12 + -16
4x = 12 + -16

Combine like terms: 12 + -16 = -4
4x = -4

Divide each side by '4'.
x = -1

Simplifying
x = -1

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