3(2x-3)-12=31-4(2x-5)

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Solution for 3(2x-3)-12=31-4(2x-5) equation:


Simplifying
3(2x + -3) + -12 = 31 + -4(2x + -5)

Reorder the terms:
3(-3 + 2x) + -12 = 31 + -4(2x + -5)
(-3 * 3 + 2x * 3) + -12 = 31 + -4(2x + -5)
(-9 + 6x) + -12 = 31 + -4(2x + -5)

Reorder the terms:
-9 + -12 + 6x = 31 + -4(2x + -5)

Combine like terms: -9 + -12 = -21
-21 + 6x = 31 + -4(2x + -5)

Reorder the terms:
-21 + 6x = 31 + -4(-5 + 2x)
-21 + 6x = 31 + (-5 * -4 + 2x * -4)
-21 + 6x = 31 + (20 + -8x)

Combine like terms: 31 + 20 = 51
-21 + 6x = 51 + -8x

Solving
-21 + 6x = 51 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-21 + 6x + 8x = 51 + -8x + 8x

Combine like terms: 6x + 8x = 14x
-21 + 14x = 51 + -8x + 8x

Combine like terms: -8x + 8x = 0
-21 + 14x = 51 + 0
-21 + 14x = 51

Add '21' to each side of the equation.
-21 + 21 + 14x = 51 + 21

Combine like terms: -21 + 21 = 0
0 + 14x = 51 + 21
14x = 51 + 21

Combine like terms: 51 + 21 = 72
14x = 72

Divide each side by '14'.
x = 5.142857143

Simplifying
x = 5.142857143

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