2(3x-2)-5=2(x-4)+31

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Solution for 2(3x-2)-5=2(x-4)+31 equation:


Simplifying
2(3x + -2) + -5 = 2(x + -4) + 31

Reorder the terms:
2(-2 + 3x) + -5 = 2(x + -4) + 31
(-2 * 2 + 3x * 2) + -5 = 2(x + -4) + 31
(-4 + 6x) + -5 = 2(x + -4) + 31

Reorder the terms:
-4 + -5 + 6x = 2(x + -4) + 31

Combine like terms: -4 + -5 = -9
-9 + 6x = 2(x + -4) + 31

Reorder the terms:
-9 + 6x = 2(-4 + x) + 31
-9 + 6x = (-4 * 2 + x * 2) + 31
-9 + 6x = (-8 + 2x) + 31

Reorder the terms:
-9 + 6x = -8 + 31 + 2x

Combine like terms: -8 + 31 = 23
-9 + 6x = 23 + 2x

Solving
-9 + 6x = 23 + 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.
-9 + 6x + -2x = 23 + 2x + -2x

Combine like terms: 6x + -2x = 4x
-9 + 4x = 23 + 2x + -2x

Combine like terms: 2x + -2x = 0
-9 + 4x = 23 + 0
-9 + 4x = 23

Add '9' to each side of the equation.
-9 + 9 + 4x = 23 + 9

Combine like terms: -9 + 9 = 0
0 + 4x = 23 + 9
4x = 23 + 9

Combine like terms: 23 + 9 = 32
4x = 32

Divide each side by '4'.
x = 8

Simplifying
x = 8

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