4x-11=2(3x-1)-5

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Solution for 4x-11=2(3x-1)-5 equation:


Simplifying
4x + -11 = 2(3x + -1) + -5

Reorder the terms:
-11 + 4x = 2(3x + -1) + -5

Reorder the terms:
-11 + 4x = 2(-1 + 3x) + -5
-11 + 4x = (-1 * 2 + 3x * 2) + -5
-11 + 4x = (-2 + 6x) + -5

Reorder the terms:
-11 + 4x = -2 + -5 + 6x

Combine like terms: -2 + -5 = -7
-11 + 4x = -7 + 6x

Solving
-11 + 4x = -7 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-11 + 4x + -6x = -7 + 6x + -6x

Combine like terms: 4x + -6x = -2x
-11 + -2x = -7 + 6x + -6x

Combine like terms: 6x + -6x = 0
-11 + -2x = -7 + 0
-11 + -2x = -7

Add '11' to each side of the equation.
-11 + 11 + -2x = -7 + 11

Combine like terms: -11 + 11 = 0
0 + -2x = -7 + 11
-2x = -7 + 11

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

Divide each side by '-2'.
x = -2

Simplifying
x = -2

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