x+4=2x-12+6x-3

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Solution for x+4=2x-12+6x-3 equation:


Simplifying
x + 4 = 2x + -12 + 6x + -3

Reorder the terms:
4 + x = 2x + -12 + 6x + -3

Reorder the terms:
4 + x = -12 + -3 + 2x + 6x

Combine like terms: -12 + -3 = -15
4 + x = -15 + 2x + 6x

Combine like terms: 2x + 6x = 8x
4 + x = -15 + 8x

Solving
4 + x = -15 + 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.
4 + x + -8x = -15 + 8x + -8x

Combine like terms: x + -8x = -7x
4 + -7x = -15 + 8x + -8x

Combine like terms: 8x + -8x = 0
4 + -7x = -15 + 0
4 + -7x = -15

Add '-4' to each side of the equation.
4 + -4 + -7x = -15 + -4

Combine like terms: 4 + -4 = 0
0 + -7x = -15 + -4
-7x = -15 + -4

Combine like terms: -15 + -4 = -19
-7x = -19

Divide each side by '-7'.
x = 2.714285714

Simplifying
x = 2.714285714

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