5(x+3)=15x-2

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


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

Reorder the terms:
5(3 + x) = 15x + -2
(3 * 5 + x * 5) = 15x + -2
(15 + 5x) = 15x + -2

Reorder the terms:
15 + 5x = -2 + 15x

Solving
15 + 5x = -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.
15 + 5x + -15x = -2 + 15x + -15x

Combine like terms: 5x + -15x = -10x
15 + -10x = -2 + 15x + -15x

Combine like terms: 15x + -15x = 0
15 + -10x = -2 + 0
15 + -10x = -2

Add '-15' to each side of the equation.
15 + -15 + -10x = -2 + -15

Combine like terms: 15 + -15 = 0
0 + -10x = -2 + -15
-10x = -2 + -15

Combine like terms: -2 + -15 = -17
-10x = -17

Divide each side by '-10'.
x = 1.7

Simplifying
x = 1.7

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