7x-5+3x+8=-4x+6-6x-15

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Solution for 7x-5+3x+8=-4x+6-6x-15 equation:


Simplifying
7x + -5 + 3x + 8 = -4x + 6 + -6x + -15

Reorder the terms:
-5 + 8 + 7x + 3x = -4x + 6 + -6x + -15

Combine like terms: -5 + 8 = 3
3 + 7x + 3x = -4x + 6 + -6x + -15

Combine like terms: 7x + 3x = 10x
3 + 10x = -4x + 6 + -6x + -15

Reorder the terms:
3 + 10x = 6 + -15 + -4x + -6x

Combine like terms: 6 + -15 = -9
3 + 10x = -9 + -4x + -6x

Combine like terms: -4x + -6x = -10x
3 + 10x = -9 + -10x

Solving
3 + 10x = -9 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
3 + 10x + 10x = -9 + -10x + 10x

Combine like terms: 10x + 10x = 20x
3 + 20x = -9 + -10x + 10x

Combine like terms: -10x + 10x = 0
3 + 20x = -9 + 0
3 + 20x = -9

Add '-3' to each side of the equation.
3 + -3 + 20x = -9 + -3

Combine like terms: 3 + -3 = 0
0 + 20x = -9 + -3
20x = -9 + -3

Combine like terms: -9 + -3 = -12
20x = -12

Divide each side by '20'.
x = -0.6

Simplifying
x = -0.6

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