88-(4x+14)=4(x+5)+x

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Solution for 88-(4x+14)=4(x+5)+x equation:


Simplifying
88 + -1(4x + 14) = 4(x + 5) + x

Reorder the terms:
88 + -1(14 + 4x) = 4(x + 5) + x
88 + (14 * -1 + 4x * -1) = 4(x + 5) + x
88 + (-14 + -4x) = 4(x + 5) + x

Combine like terms: 88 + -14 = 74
74 + -4x = 4(x + 5) + x

Reorder the terms:
74 + -4x = 4(5 + x) + x
74 + -4x = (5 * 4 + x * 4) + x
74 + -4x = (20 + 4x) + x

Combine like terms: 4x + x = 5x
74 + -4x = 20 + 5x

Solving
74 + -4x = 20 + 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.
74 + -4x + -5x = 20 + 5x + -5x

Combine like terms: -4x + -5x = -9x
74 + -9x = 20 + 5x + -5x

Combine like terms: 5x + -5x = 0
74 + -9x = 20 + 0
74 + -9x = 20

Add '-74' to each side of the equation.
74 + -74 + -9x = 20 + -74

Combine like terms: 74 + -74 = 0
0 + -9x = 20 + -74
-9x = 20 + -74

Combine like terms: 20 + -74 = -54
-9x = -54

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

Simplifying
x = 6

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