7(x+5)=-7(x+-35)

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Solution for 7(x+5)=-7(x+-35) equation:


Simplifying
7(x + 5) = -7(x + -35)

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

Reorder the terms:
35 + 7x = -7(-35 + x)
35 + 7x = (-35 * -7 + x * -7)
35 + 7x = (245 + -7x)

Solving
35 + 7x = 245 + -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.
35 + 7x + 7x = 245 + -7x + 7x

Combine like terms: 7x + 7x = 14x
35 + 14x = 245 + -7x + 7x

Combine like terms: -7x + 7x = 0
35 + 14x = 245 + 0
35 + 14x = 245

Add '-35' to each side of the equation.
35 + -35 + 14x = 245 + -35

Combine like terms: 35 + -35 = 0
0 + 14x = 245 + -35
14x = 245 + -35

Combine like terms: 245 + -35 = 210
14x = 210

Divide each side by '14'.
x = 15

Simplifying
x = 15

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