98-(4x+12)=4(x+8)+x

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Solution for 98-(4x+12)=4(x+8)+x equation:


Simplifying
98 + -1(4x + 12) = 4(x + 8) + x

Reorder the terms:
98 + -1(12 + 4x) = 4(x + 8) + x
98 + (12 * -1 + 4x * -1) = 4(x + 8) + x
98 + (-12 + -4x) = 4(x + 8) + x

Combine like terms: 98 + -12 = 86
86 + -4x = 4(x + 8) + x

Reorder the terms:
86 + -4x = 4(8 + x) + x
86 + -4x = (8 * 4 + x * 4) + x
86 + -4x = (32 + 4x) + x

Combine like terms: 4x + x = 5x
86 + -4x = 32 + 5x

Solving
86 + -4x = 32 + 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.
86 + -4x + -5x = 32 + 5x + -5x

Combine like terms: -4x + -5x = -9x
86 + -9x = 32 + 5x + -5x

Combine like terms: 5x + -5x = 0
86 + -9x = 32 + 0
86 + -9x = 32

Add '-86' to each side of the equation.
86 + -86 + -9x = 32 + -86

Combine like terms: 86 + -86 = 0
0 + -9x = 32 + -86
-9x = 32 + -86

Combine like terms: 32 + -86 = -54
-9x = -54

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

Simplifying
x = 6

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