98-(6x+8)=6(x+2)+x

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Solution for 98-(6x+8)=6(x+2)+x equation:


Simplifying
98 + -1(6x + 8) = 6(x + 2) + x

Reorder the terms:
98 + -1(8 + 6x) = 6(x + 2) + x
98 + (8 * -1 + 6x * -1) = 6(x + 2) + x
98 + (-8 + -6x) = 6(x + 2) + x

Combine like terms: 98 + -8 = 90
90 + -6x = 6(x + 2) + x

Reorder the terms:
90 + -6x = 6(2 + x) + x
90 + -6x = (2 * 6 + x * 6) + x
90 + -6x = (12 + 6x) + x

Combine like terms: 6x + x = 7x
90 + -6x = 12 + 7x

Solving
90 + -6x = 12 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
90 + -6x + -7x = 12 + 7x + -7x

Combine like terms: -6x + -7x = -13x
90 + -13x = 12 + 7x + -7x

Combine like terms: 7x + -7x = 0
90 + -13x = 12 + 0
90 + -13x = 12

Add '-90' to each side of the equation.
90 + -90 + -13x = 12 + -90

Combine like terms: 90 + -90 = 0
0 + -13x = 12 + -90
-13x = 12 + -90

Combine like terms: 12 + -90 = -78
-13x = -78

Divide each side by '-13'.
x = 6

Simplifying
x = 6

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