10x-21=8x-7-12x-6

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Solution for 10x-21=8x-7-12x-6 equation:


Simplifying
10x + -21 = 8x + -7 + -12x + -6

Reorder the terms:
-21 + 10x = 8x + -7 + -12x + -6

Reorder the terms:
-21 + 10x = -7 + -6 + 8x + -12x

Combine like terms: -7 + -6 = -13
-21 + 10x = -13 + 8x + -12x

Combine like terms: 8x + -12x = -4x
-21 + 10x = -13 + -4x

Solving
-21 + 10x = -13 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-21 + 10x + 4x = -13 + -4x + 4x

Combine like terms: 10x + 4x = 14x
-21 + 14x = -13 + -4x + 4x

Combine like terms: -4x + 4x = 0
-21 + 14x = -13 + 0
-21 + 14x = -13

Add '21' to each side of the equation.
-21 + 21 + 14x = -13 + 21

Combine like terms: -21 + 21 = 0
0 + 14x = -13 + 21
14x = -13 + 21

Combine like terms: -13 + 21 = 8
14x = 8

Divide each side by '14'.
x = 0.5714285714

Simplifying
x = 0.5714285714

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