80-(4x+14)=4(x+3)+x

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Solution for 80-(4x+14)=4(x+3)+x equation:


Simplifying
80 + -1(4x + 14) = 4(x + 3) + x

Reorder the terms:
80 + -1(14 + 4x) = 4(x + 3) + x
80 + (14 * -1 + 4x * -1) = 4(x + 3) + x
80 + (-14 + -4x) = 4(x + 3) + x

Combine like terms: 80 + -14 = 66
66 + -4x = 4(x + 3) + x

Reorder the terms:
66 + -4x = 4(3 + x) + x
66 + -4x = (3 * 4 + x * 4) + x
66 + -4x = (12 + 4x) + x

Combine like terms: 4x + x = 5x
66 + -4x = 12 + 5x

Solving
66 + -4x = 12 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
66 + -4x + -5x = 12 + 5x + -5x

Combine like terms: -4x + -5x = -9x
66 + -9x = 12 + 5x + -5x

Combine like terms: 5x + -5x = 0
66 + -9x = 12 + 0
66 + -9x = 12

Add '-66' to each side of the equation.
66 + -66 + -9x = 12 + -66

Combine like terms: 66 + -66 = 0
0 + -9x = 12 + -66
-9x = 12 + -66

Combine like terms: 12 + -66 = -54
-9x = -54

Divide each side by '-9'.
x = 6

Simplifying
x = 6

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