6X+7(-4X+35)=113

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Solution for 6X+7(-4X+35)=113 equation:


Simplifying
6X + 7(-4X + 35) = 113

Reorder the terms:
6X + 7(35 + -4X) = 113
6X + (35 * 7 + -4X * 7) = 113
6X + (245 + -28X) = 113

Reorder the terms:
245 + 6X + -28X = 113

Combine like terms: 6X + -28X = -22X
245 + -22X = 113

Solving
245 + -22X = 113

Solving for variable 'X'.

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

Add '-245' to each side of the equation.
245 + -245 + -22X = 113 + -245

Combine like terms: 245 + -245 = 0
0 + -22X = 113 + -245
-22X = 113 + -245

Combine like terms: 113 + -245 = -132
-22X = -132

Divide each side by '-22'.
X = 6

Simplifying
X = 6

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