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

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


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

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

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

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

Reorder the terms:
-11 + 4x = 2(-4 + x) + 11
-11 + 4x = (-4 * 2 + x * 2) + 11
-11 + 4x = (-8 + 2x) + 11

Reorder the terms:
-11 + 4x = -8 + 11 + 2x

Combine like terms: -8 + 11 = 3
-11 + 4x = 3 + 2x

Solving
-11 + 4x = 3 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-11 + 4x + -2x = 3 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
-11 + 2x = 3 + 0
-11 + 2x = 3

Add '11' to each side of the equation.
-11 + 11 + 2x = 3 + 11

Combine like terms: -11 + 11 = 0
0 + 2x = 3 + 11
2x = 3 + 11

Combine like terms: 3 + 11 = 14
2x = 14

Divide each side by '2'.
x = 7

Simplifying
x = 7

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