-3x+12+14x=20x+65-16x-4

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Solution for -3x+12+14x=20x+65-16x-4 equation:


Simplifying
-3x + 12 + 14x = 20x + 65 + -16x + -4

Reorder the terms:
12 + -3x + 14x = 20x + 65 + -16x + -4

Combine like terms: -3x + 14x = 11x
12 + 11x = 20x + 65 + -16x + -4

Reorder the terms:
12 + 11x = 65 + -4 + 20x + -16x

Combine like terms: 65 + -4 = 61
12 + 11x = 61 + 20x + -16x

Combine like terms: 20x + -16x = 4x
12 + 11x = 61 + 4x

Solving
12 + 11x = 61 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
12 + 11x + -4x = 61 + 4x + -4x

Combine like terms: 11x + -4x = 7x
12 + 7x = 61 + 4x + -4x

Combine like terms: 4x + -4x = 0
12 + 7x = 61 + 0
12 + 7x = 61

Add '-12' to each side of the equation.
12 + -12 + 7x = 61 + -12

Combine like terms: 12 + -12 = 0
0 + 7x = 61 + -12
7x = 61 + -12

Combine like terms: 61 + -12 = 49
7x = 49

Divide each side by '7'.
x = 7

Simplifying
x = 7

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