4x-2+6x+5=8x-21

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Solution for 4x-2+6x+5=8x-21 equation:


Simplifying
4x + -2 + 6x + 5 = 8x + -21

Reorder the terms:
-2 + 5 + 4x + 6x = 8x + -21

Combine like terms: -2 + 5 = 3
3 + 4x + 6x = 8x + -21

Combine like terms: 4x + 6x = 10x
3 + 10x = 8x + -21

Reorder the terms:
3 + 10x = -21 + 8x

Solving
3 + 10x = -21 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
3 + 10x + -8x = -21 + 8x + -8x

Combine like terms: 10x + -8x = 2x
3 + 2x = -21 + 8x + -8x

Combine like terms: 8x + -8x = 0
3 + 2x = -21 + 0
3 + 2x = -21

Add '-3' to each side of the equation.
3 + -3 + 2x = -21 + -3

Combine like terms: 3 + -3 = 0
0 + 2x = -21 + -3
2x = -21 + -3

Combine like terms: -21 + -3 = -24
2x = -24

Divide each side by '2'.
x = -12

Simplifying
x = -12

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