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

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


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

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

Remove parenthesis around (-7 + 2x)
-7 + 2x + (2x + -5) + (x + -1) = 2(x + -3) + 2(3x + -11)

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

Remove parenthesis around (-5 + 2x)
-7 + 2x + -5 + 2x + (x + -1) = 2(x + -3) + 2(3x + -11)

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

Remove parenthesis around (-1 + x)
-7 + 2x + -5 + 2x + -1 + x = 2(x + -3) + 2(3x + -11)

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

Combine like terms: -7 + -5 = -12
-12 + -1 + 2x + 2x + x = 2(x + -3) + 2(3x + -11)

Combine like terms: -12 + -1 = -13
-13 + 2x + 2x + x = 2(x + -3) + 2(3x + -11)

Combine like terms: 2x + 2x = 4x
-13 + 4x + x = 2(x + -3) + 2(3x + -11)

Combine like terms: 4x + x = 5x
-13 + 5x = 2(x + -3) + 2(3x + -11)

Reorder the terms:
-13 + 5x = 2(-3 + x) + 2(3x + -11)
-13 + 5x = (-3 * 2 + x * 2) + 2(3x + -11)
-13 + 5x = (-6 + 2x) + 2(3x + -11)

Reorder the terms:
-13 + 5x = -6 + 2x + 2(-11 + 3x)
-13 + 5x = -6 + 2x + (-11 * 2 + 3x * 2)
-13 + 5x = -6 + 2x + (-22 + 6x)

Reorder the terms:
-13 + 5x = -6 + -22 + 2x + 6x

Combine like terms: -6 + -22 = -28
-13 + 5x = -28 + 2x + 6x

Combine like terms: 2x + 6x = 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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