3x-8+4x-11=11x-5-7x+7

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Solution for 3x-8+4x-11=11x-5-7x+7 equation:


Simplifying
3x + -8 + 4x + -11 = 11x + -5 + -7x + 7

Reorder the terms:
-8 + -11 + 3x + 4x = 11x + -5 + -7x + 7

Combine like terms: -8 + -11 = -19
-19 + 3x + 4x = 11x + -5 + -7x + 7

Combine like terms: 3x + 4x = 7x
-19 + 7x = 11x + -5 + -7x + 7

Reorder the terms:
-19 + 7x = -5 + 7 + 11x + -7x

Combine like terms: -5 + 7 = 2
-19 + 7x = 2 + 11x + -7x

Combine like terms: 11x + -7x = 4x
-19 + 7x = 2 + 4x

Solving
-19 + 7x = 2 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-19 + 7x + -4x = 2 + 4x + -4x

Combine like terms: 7x + -4x = 3x
-19 + 3x = 2 + 4x + -4x

Combine like terms: 4x + -4x = 0
-19 + 3x = 2 + 0
-19 + 3x = 2

Add '19' to each side of the equation.
-19 + 19 + 3x = 2 + 19

Combine like terms: -19 + 19 = 0
0 + 3x = 2 + 19
3x = 2 + 19

Combine like terms: 2 + 19 = 21
3x = 21

Divide each side by '3'.
x = 7

Simplifying
x = 7

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