7(1-x)-2=3(x+5)

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Solution for 7(1-x)-2=3(x+5) equation:


Simplifying
7(1 + -1x) + -2 = 3(x + 5)
(1 * 7 + -1x * 7) + -2 = 3(x + 5)
(7 + -7x) + -2 = 3(x + 5)

Reorder the terms:
7 + -2 + -7x = 3(x + 5)

Combine like terms: 7 + -2 = 5
5 + -7x = 3(x + 5)

Reorder the terms:
5 + -7x = 3(5 + x)
5 + -7x = (5 * 3 + x * 3)
5 + -7x = (15 + 3x)

Solving
5 + -7x = 15 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
5 + -7x + -3x = 15 + 3x + -3x

Combine like terms: -7x + -3x = -10x
5 + -10x = 15 + 3x + -3x

Combine like terms: 3x + -3x = 0
5 + -10x = 15 + 0
5 + -10x = 15

Add '-5' to each side of the equation.
5 + -5 + -10x = 15 + -5

Combine like terms: 5 + -5 = 0
0 + -10x = 15 + -5
-10x = 15 + -5

Combine like terms: 15 + -5 = 10
-10x = 10

Divide each side by '-10'.
x = -1

Simplifying
x = -1

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