2x-7+x-1+2x-5=3x-11+x-3+3x-11+x-3

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Solution for 2x-7+x-1+2x-5=3x-11+x-3+3x-11+x-3 equation:


Simplifying
2x + -7 + x + -1 + 2x + -5 = 3x + -11 + x + -3 + 3x + -11 + x + -3

Reorder the terms:
-7 + -1 + -5 + 2x + x + 2x = 3x + -11 + x + -3 + 3x + -11 + x + -3

Combine like terms: -7 + -1 = -8
-8 + -5 + 2x + x + 2x = 3x + -11 + x + -3 + 3x + -11 + x + -3

Combine like terms: -8 + -5 = -13
-13 + 2x + x + 2x = 3x + -11 + x + -3 + 3x + -11 + x + -3

Combine like terms: 2x + x = 3x
-13 + 3x + 2x = 3x + -11 + x + -3 + 3x + -11 + x + -3

Combine like terms: 3x + 2x = 5x
-13 + 5x = 3x + -11 + x + -3 + 3x + -11 + x + -3

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

Combine like terms: -11 + -3 = -14
-13 + 5x = -14 + -11 + -3 + 3x + x + 3x + x

Combine like terms: -14 + -11 = -25
-13 + 5x = -25 + -3 + 3x + x + 3x + x

Combine like terms: -25 + -3 = -28
-13 + 5x = -28 + 3x + x + 3x + x

Combine like terms: 3x + x = 4x
-13 + 5x = -28 + 4x + 3x + x

Combine like terms: 4x + 3x = 7x
-13 + 5x = -28 + 7x + x

Combine like terms: 7x + x = 8x
-13 + 5x = -28 + 8x

Solving
-13 + 5x = -28 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-13 + 5x + -8x = -28 + 8x + -8x

Combine like terms: 5x + -8x = -3x
-13 + -3x = -28 + 8x + -8x

Combine like terms: 8x + -8x = 0
-13 + -3x = -28 + 0
-13 + -3x = -28

Add '13' to each side of the equation.
-13 + 13 + -3x = -28 + 13

Combine like terms: -13 + 13 = 0
0 + -3x = -28 + 13
-3x = -28 + 13

Combine like terms: -28 + 13 = -15
-3x = -15

Divide each side by '-3'.
x = 5

Simplifying
x = 5

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