100-(7x+5)=7(x+5)+x

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Solution for 100-(7x+5)=7(x+5)+x equation:


Simplifying
100 + -1(7x + 5) = 7(x + 5) + x

Reorder the terms:
100 + -1(5 + 7x) = 7(x + 5) + x
100 + (5 * -1 + 7x * -1) = 7(x + 5) + x
100 + (-5 + -7x) = 7(x + 5) + x

Combine like terms: 100 + -5 = 95
95 + -7x = 7(x + 5) + x

Reorder the terms:
95 + -7x = 7(5 + x) + x
95 + -7x = (5 * 7 + x * 7) + x
95 + -7x = (35 + 7x) + x

Combine like terms: 7x + x = 8x
95 + -7x = 35 + 8x

Solving
95 + -7x = 35 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
95 + -7x + -8x = 35 + 8x + -8x

Combine like terms: -7x + -8x = -15x
95 + -15x = 35 + 8x + -8x

Combine like terms: 8x + -8x = 0
95 + -15x = 35 + 0
95 + -15x = 35

Add '-95' to each side of the equation.
95 + -95 + -15x = 35 + -95

Combine like terms: 95 + -95 = 0
0 + -15x = 35 + -95
-15x = 35 + -95

Combine like terms: 35 + -95 = -60
-15x = -60

Divide each side by '-15'.
x = 4

Simplifying
x = 4

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