107=6x+7(4x-13)

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Solution for 107=6x+7(4x-13) equation:


Simplifying
107 = 6x + 7(4x + -13)

Reorder the terms:
107 = 6x + 7(-13 + 4x)
107 = 6x + (-13 * 7 + 4x * 7)
107 = 6x + (-91 + 28x)

Reorder the terms:
107 = -91 + 6x + 28x

Combine like terms: 6x + 28x = 34x
107 = -91 + 34x

Solving
107 = -91 + 34x

Solving for variable 'x'.

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

Add '-34x' to each side of the equation.
107 + -34x = -91 + 34x + -34x

Combine like terms: 34x + -34x = 0
107 + -34x = -91 + 0
107 + -34x = -91

Add '-107' to each side of the equation.
107 + -107 + -34x = -91 + -107

Combine like terms: 107 + -107 = 0
0 + -34x = -91 + -107
-34x = -91 + -107

Combine like terms: -91 + -107 = -198
-34x = -198

Divide each side by '-34'.
x = 5.823529412

Simplifying
x = 5.823529412

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