7(x+2)=15x-2

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


Simplifying
7(x + 2) = 15x + -2

Reorder the terms:
7(2 + x) = 15x + -2
(2 * 7 + x * 7) = 15x + -2
(14 + 7x) = 15x + -2

Reorder the terms:
14 + 7x = -2 + 15x

Solving
14 + 7x = -2 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
14 + 7x + -15x = -2 + 15x + -15x

Combine like terms: 7x + -15x = -8x
14 + -8x = -2 + 15x + -15x

Combine like terms: 15x + -15x = 0
14 + -8x = -2 + 0
14 + -8x = -2

Add '-14' to each side of the equation.
14 + -14 + -8x = -2 + -14

Combine like terms: 14 + -14 = 0
0 + -8x = -2 + -14
-8x = -2 + -14

Combine like terms: -2 + -14 = -16
-8x = -16

Divide each side by '-8'.
x = 2

Simplifying
x = 2

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