6x+7-4x=10-x-15

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Solution for 6x+7-4x=10-x-15 equation:


Simplifying
6x + 7 + -4x = 10 + -1x + -15

Reorder the terms:
7 + 6x + -4x = 10 + -1x + -15

Combine like terms: 6x + -4x = 2x
7 + 2x = 10 + -1x + -15

Reorder the terms:
7 + 2x = 10 + -15 + -1x

Combine like terms: 10 + -15 = -5
7 + 2x = -5 + -1x

Solving
7 + 2x = -5 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
7 + 2x + x = -5 + -1x + x

Combine like terms: 2x + x = 3x
7 + 3x = -5 + -1x + x

Combine like terms: -1x + x = 0
7 + 3x = -5 + 0
7 + 3x = -5

Add '-7' to each side of the equation.
7 + -7 + 3x = -5 + -7

Combine like terms: 7 + -7 = 0
0 + 3x = -5 + -7
3x = -5 + -7

Combine like terms: -5 + -7 = -12
3x = -12

Divide each side by '3'.
x = -4

Simplifying
x = -4

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