6x+7+8x-1=5x+10-2x+18

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Solution for 6x+7+8x-1=5x+10-2x+18 equation:


Simplifying
6x + 7 + 8x + -1 = 5x + 10 + -2x + 18

Reorder the terms:
7 + -1 + 6x + 8x = 5x + 10 + -2x + 18

Combine like terms: 7 + -1 = 6
6 + 6x + 8x = 5x + 10 + -2x + 18

Combine like terms: 6x + 8x = 14x
6 + 14x = 5x + 10 + -2x + 18

Reorder the terms:
6 + 14x = 10 + 18 + 5x + -2x

Combine like terms: 10 + 18 = 28
6 + 14x = 28 + 5x + -2x

Combine like terms: 5x + -2x = 3x
6 + 14x = 28 + 3x

Solving
6 + 14x = 28 + 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.
6 + 14x + -3x = 28 + 3x + -3x

Combine like terms: 14x + -3x = 11x
6 + 11x = 28 + 3x + -3x

Combine like terms: 3x + -3x = 0
6 + 11x = 28 + 0
6 + 11x = 28

Add '-6' to each side of the equation.
6 + -6 + 11x = 28 + -6

Combine like terms: 6 + -6 = 0
0 + 11x = 28 + -6
11x = 28 + -6

Combine like terms: 28 + -6 = 22
11x = 22

Divide each side by '11'.
x = 2

Simplifying
x = 2

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