10x+4-2x-6=8x-10-7x+x+20

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Solution for 10x+4-2x-6=8x-10-7x+x+20 equation:


Simplifying
10x + 4 + -2x + -6 = 8x + -10 + -7x + x + 20

Reorder the terms:
4 + -6 + 10x + -2x = 8x + -10 + -7x + x + 20

Combine like terms: 4 + -6 = -2
-2 + 10x + -2x = 8x + -10 + -7x + x + 20

Combine like terms: 10x + -2x = 8x
-2 + 8x = 8x + -10 + -7x + x + 20

Reorder the terms:
-2 + 8x = -10 + 20 + 8x + -7x + x

Combine like terms: -10 + 20 = 10
-2 + 8x = 10 + 8x + -7x + x

Combine like terms: 8x + -7x = 1x
-2 + 8x = 10 + 1x + x

Combine like terms: 1x + x = 2x
-2 + 8x = 10 + 2x

Solving
-2 + 8x = 10 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-2 + 8x + -2x = 10 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
-2 + 6x = 10 + 0
-2 + 6x = 10

Add '2' to each side of the equation.
-2 + 2 + 6x = 10 + 2

Combine like terms: -2 + 2 = 0
0 + 6x = 10 + 2
6x = 10 + 2

Combine like terms: 10 + 2 = 12
6x = 12

Divide each side by '6'.
x = 2

Simplifying
x = 2

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