7(3x+2)=15x-4

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Solution for 7(3x+2)=15x-4 equation:


Simplifying
7(3x + 2) = 15x + -4

Reorder the terms:
7(2 + 3x) = 15x + -4
(2 * 7 + 3x * 7) = 15x + -4
(14 + 21x) = 15x + -4

Reorder the terms:
14 + 21x = -4 + 15x

Solving
14 + 21x = -4 + 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 + 21x + -15x = -4 + 15x + -15x

Combine like terms: 21x + -15x = 6x
14 + 6x = -4 + 15x + -15x

Combine like terms: 15x + -15x = 0
14 + 6x = -4 + 0
14 + 6x = -4

Add '-14' to each side of the equation.
14 + -14 + 6x = -4 + -14

Combine like terms: 14 + -14 = 0
0 + 6x = -4 + -14
6x = -4 + -14

Combine like terms: -4 + -14 = -18
6x = -18

Divide each side by '6'.
x = -3

Simplifying
x = -3

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