5(2-3x)=15-(x+7)

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Solution for 5(2-3x)=15-(x+7) equation:


Simplifying
5(2 + -3x) = 15 + -1(x + 7)
(2 * 5 + -3x * 5) = 15 + -1(x + 7)
(10 + -15x) = 15 + -1(x + 7)

Reorder the terms:
10 + -15x = 15 + -1(7 + x)
10 + -15x = 15 + (7 * -1 + x * -1)
10 + -15x = 15 + (-7 + -1x)

Combine like terms: 15 + -7 = 8
10 + -15x = 8 + -1x

Solving
10 + -15x = 8 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
10 + -15x + x = 8 + -1x + x

Combine like terms: -15x + x = -14x
10 + -14x = 8 + -1x + x

Combine like terms: -1x + x = 0
10 + -14x = 8 + 0
10 + -14x = 8

Add '-10' to each side of the equation.
10 + -10 + -14x = 8 + -10

Combine like terms: 10 + -10 = 0
0 + -14x = 8 + -10
-14x = 8 + -10

Combine like terms: 8 + -10 = -2
-14x = -2

Divide each side by '-14'.
x = 0.1428571429

Simplifying
x = 0.1428571429

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