7(x+6)-6x=7(x+10)

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Solution for 7(x+6)-6x=7(x+10) equation:


Simplifying
7(x + 6) + -6x = 7(x + 10)

Reorder the terms:
7(6 + x) + -6x = 7(x + 10)
(6 * 7 + x * 7) + -6x = 7(x + 10)
(42 + 7x) + -6x = 7(x + 10)

Combine like terms: 7x + -6x = 1x
42 + 1x = 7(x + 10)

Reorder the terms:
42 + 1x = 7(10 + x)
42 + 1x = (10 * 7 + x * 7)
42 + 1x = (70 + 7x)

Solving
42 + 1x = 70 + 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.
42 + 1x + -7x = 70 + 7x + -7x

Combine like terms: 1x + -7x = -6x
42 + -6x = 70 + 7x + -7x

Combine like terms: 7x + -7x = 0
42 + -6x = 70 + 0
42 + -6x = 70

Add '-42' to each side of the equation.
42 + -42 + -6x = 70 + -42

Combine like terms: 42 + -42 = 0
0 + -6x = 70 + -42
-6x = 70 + -42

Combine like terms: 70 + -42 = 28
-6x = 28

Divide each side by '-6'.
x = -4.666666667

Simplifying
x = -4.666666667

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