7x-15=5+7(9x-6)

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Solution for 7x-15=5+7(9x-6) equation:


Simplifying
7x + -15 = 5 + 7(9x + -6)

Reorder the terms:
-15 + 7x = 5 + 7(9x + -6)

Reorder the terms:
-15 + 7x = 5 + 7(-6 + 9x)
-15 + 7x = 5 + (-6 * 7 + 9x * 7)
-15 + 7x = 5 + (-42 + 63x)

Combine like terms: 5 + -42 = -37
-15 + 7x = -37 + 63x

Solving
-15 + 7x = -37 + 63x

Solving for variable 'x'.

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

Add '-63x' to each side of the equation.
-15 + 7x + -63x = -37 + 63x + -63x

Combine like terms: 7x + -63x = -56x
-15 + -56x = -37 + 63x + -63x

Combine like terms: 63x + -63x = 0
-15 + -56x = -37 + 0
-15 + -56x = -37

Add '15' to each side of the equation.
-15 + 15 + -56x = -37 + 15

Combine like terms: -15 + 15 = 0
0 + -56x = -37 + 15
-56x = -37 + 15

Combine like terms: -37 + 15 = -22
-56x = -22

Divide each side by '-56'.
x = 0.3928571429

Simplifying
x = 0.3928571429

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