-7(x-6)+8=7x+6

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Solution for -7(x-6)+8=7x+6 equation:


Simplifying
-7(x + -6) + 8 = 7x + 6

Reorder the terms:
-7(-6 + x) + 8 = 7x + 6
(-6 * -7 + x * -7) + 8 = 7x + 6
(42 + -7x) + 8 = 7x + 6

Reorder the terms:
42 + 8 + -7x = 7x + 6

Combine like terms: 42 + 8 = 50
50 + -7x = 7x + 6

Reorder the terms:
50 + -7x = 6 + 7x

Solving
50 + -7x = 6 + 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.
50 + -7x + -7x = 6 + 7x + -7x

Combine like terms: -7x + -7x = -14x
50 + -14x = 6 + 7x + -7x

Combine like terms: 7x + -7x = 0
50 + -14x = 6 + 0
50 + -14x = 6

Add '-50' to each side of the equation.
50 + -50 + -14x = 6 + -50

Combine like terms: 50 + -50 = 0
0 + -14x = 6 + -50
-14x = 6 + -50

Combine like terms: 6 + -50 = -44
-14x = -44

Divide each side by '-14'.
x = 3.142857143

Simplifying
x = 3.142857143

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