5x-7+3x+11=15x-13+4x+7

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Solution for 5x-7+3x+11=15x-13+4x+7 equation:


Simplifying
5x + -7 + 3x + 11 = 15x + -13 + 4x + 7

Reorder the terms:
-7 + 11 + 5x + 3x = 15x + -13 + 4x + 7

Combine like terms: -7 + 11 = 4
4 + 5x + 3x = 15x + -13 + 4x + 7

Combine like terms: 5x + 3x = 8x
4 + 8x = 15x + -13 + 4x + 7

Reorder the terms:
4 + 8x = -13 + 7 + 15x + 4x

Combine like terms: -13 + 7 = -6
4 + 8x = -6 + 15x + 4x

Combine like terms: 15x + 4x = 19x
4 + 8x = -6 + 19x

Solving
4 + 8x = -6 + 19x

Solving for variable 'x'.

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

Add '-19x' to each side of the equation.
4 + 8x + -19x = -6 + 19x + -19x

Combine like terms: 8x + -19x = -11x
4 + -11x = -6 + 19x + -19x

Combine like terms: 19x + -19x = 0
4 + -11x = -6 + 0
4 + -11x = -6

Add '-4' to each side of the equation.
4 + -4 + -11x = -6 + -4

Combine like terms: 4 + -4 = 0
0 + -11x = -6 + -4
-11x = -6 + -4

Combine like terms: -6 + -4 = -10
-11x = -10

Divide each side by '-11'.
x = 0.9090909091

Simplifying
x = 0.9090909091

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