2(3x-4)-5=2(x-4)+27

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Solution for 2(3x-4)-5=2(x-4)+27 equation:


Simplifying
2(3x + -4) + -5 = 2(x + -4) + 27

Reorder the terms:
2(-4 + 3x) + -5 = 2(x + -4) + 27
(-4 * 2 + 3x * 2) + -5 = 2(x + -4) + 27
(-8 + 6x) + -5 = 2(x + -4) + 27

Reorder the terms:
-8 + -5 + 6x = 2(x + -4) + 27

Combine like terms: -8 + -5 = -13
-13 + 6x = 2(x + -4) + 27

Reorder the terms:
-13 + 6x = 2(-4 + x) + 27
-13 + 6x = (-4 * 2 + x * 2) + 27
-13 + 6x = (-8 + 2x) + 27

Reorder the terms:
-13 + 6x = -8 + 27 + 2x

Combine like terms: -8 + 27 = 19
-13 + 6x = 19 + 2x

Solving
-13 + 6x = 19 + 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.
-13 + 6x + -2x = 19 + 2x + -2x

Combine like terms: 6x + -2x = 4x
-13 + 4x = 19 + 2x + -2x

Combine like terms: 2x + -2x = 0
-13 + 4x = 19 + 0
-13 + 4x = 19

Add '13' to each side of the equation.
-13 + 13 + 4x = 19 + 13

Combine like terms: -13 + 13 = 0
0 + 4x = 19 + 13
4x = 19 + 13

Combine like terms: 19 + 13 = 32
4x = 32

Divide each side by '4'.
x = 8

Simplifying
x = 8

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