78-(6x-7)=x+(x+29)

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Solution for 78-(6x-7)=x+(x+29) equation:


Simplifying
78 + -1(6x + -7) = x + (x + 29)

Reorder the terms:
78 + -1(-7 + 6x) = x + (x + 29)
78 + (-7 * -1 + 6x * -1) = x + (x + 29)
78 + (7 + -6x) = x + (x + 29)

Combine like terms: 78 + 7 = 85
85 + -6x = x + (x + 29)

Reorder the terms:
85 + -6x = x + (29 + x)

Remove parenthesis around (29 + x)
85 + -6x = x + 29 + x

Reorder the terms:
85 + -6x = 29 + x + x

Combine like terms: x + x = 2x
85 + -6x = 29 + 2x

Solving
85 + -6x = 29 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
85 + -6x + -2x = 29 + 2x + -2x

Combine like terms: -6x + -2x = -8x
85 + -8x = 29 + 2x + -2x

Combine like terms: 2x + -2x = 0
85 + -8x = 29 + 0
85 + -8x = 29

Add '-85' to each side of the equation.
85 + -85 + -8x = 29 + -85

Combine like terms: 85 + -85 = 0
0 + -8x = 29 + -85
-8x = 29 + -85

Combine like terms: 29 + -85 = -56
-8x = -56

Divide each side by '-8'.
x = 7

Simplifying
x = 7

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