7(x+3)=15x-7

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


Simplifying
7(x + 3) = 15x + -7

Reorder the terms:
7(3 + x) = 15x + -7
(3 * 7 + x * 7) = 15x + -7
(21 + 7x) = 15x + -7

Reorder the terms:
21 + 7x = -7 + 15x

Solving
21 + 7x = -7 + 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.
21 + 7x + -15x = -7 + 15x + -15x

Combine like terms: 7x + -15x = -8x
21 + -8x = -7 + 15x + -15x

Combine like terms: 15x + -15x = 0
21 + -8x = -7 + 0
21 + -8x = -7

Add '-21' to each side of the equation.
21 + -21 + -8x = -7 + -21

Combine like terms: 21 + -21 = 0
0 + -8x = -7 + -21
-8x = -7 + -21

Combine like terms: -7 + -21 = -28
-8x = -28

Divide each side by '-8'.
x = 3.5

Simplifying
x = 3.5

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