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

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


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

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

Reorder the terms:
-42 + 5 + 7x = 5(x + -7)

Combine like terms: -42 + 5 = -37
-37 + 7x = 5(x + -7)

Reorder the terms:
-37 + 7x = 5(-7 + x)
-37 + 7x = (-7 * 5 + x * 5)
-37 + 7x = (-35 + 5x)

Solving
-37 + 7x = -35 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-37 + 7x + -5x = -35 + 5x + -5x

Combine like terms: 7x + -5x = 2x
-37 + 2x = -35 + 5x + -5x

Combine like terms: 5x + -5x = 0
-37 + 2x = -35 + 0
-37 + 2x = -35

Add '37' to each side of the equation.
-37 + 37 + 2x = -35 + 37

Combine like terms: -37 + 37 = 0
0 + 2x = -35 + 37
2x = -35 + 37

Combine like terms: -35 + 37 = 2
2x = 2

Divide each side by '2'.
x = 1

Simplifying
x = 1

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