7(3x+5)=15x-4

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Solution for 7(3x+5)=15x-4 equation:


Simplifying
7(3x + 5) = 15x + -4

Reorder the terms:
7(5 + 3x) = 15x + -4
(5 * 7 + 3x * 7) = 15x + -4
(35 + 21x) = 15x + -4

Reorder the terms:
35 + 21x = -4 + 15x

Solving
35 + 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.
35 + 21x + -15x = -4 + 15x + -15x

Combine like terms: 21x + -15x = 6x
35 + 6x = -4 + 15x + -15x

Combine like terms: 15x + -15x = 0
35 + 6x = -4 + 0
35 + 6x = -4

Add '-35' to each side of the equation.
35 + -35 + 6x = -4 + -35

Combine like terms: 35 + -35 = 0
0 + 6x = -4 + -35
6x = -4 + -35

Combine like terms: -4 + -35 = -39
6x = -39

Divide each side by '6'.
x = -6.5

Simplifying
x = -6.5

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