5x-5+2x+6=6x+10-3x-14

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Solution for 5x-5+2x+6=6x+10-3x-14 equation:


Simplifying
5x + -5 + 2x + 6 = 6x + 10 + -3x + -14

Reorder the terms:
-5 + 6 + 5x + 2x = 6x + 10 + -3x + -14

Combine like terms: -5 + 6 = 1
1 + 5x + 2x = 6x + 10 + -3x + -14

Combine like terms: 5x + 2x = 7x
1 + 7x = 6x + 10 + -3x + -14

Reorder the terms:
1 + 7x = 10 + -14 + 6x + -3x

Combine like terms: 10 + -14 = -4
1 + 7x = -4 + 6x + -3x

Combine like terms: 6x + -3x = 3x
1 + 7x = -4 + 3x

Solving
1 + 7x = -4 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
1 + 7x + -3x = -4 + 3x + -3x

Combine like terms: 7x + -3x = 4x
1 + 4x = -4 + 3x + -3x

Combine like terms: 3x + -3x = 0
1 + 4x = -4 + 0
1 + 4x = -4

Add '-1' to each side of the equation.
1 + -1 + 4x = -4 + -1

Combine like terms: 1 + -1 = 0
0 + 4x = -4 + -1
4x = -4 + -1

Combine like terms: -4 + -1 = -5
4x = -5

Divide each side by '4'.
x = -1.25

Simplifying
x = -1.25

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