5(x-3)-2=15x-47

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Solution for 5(x-3)-2=15x-47 equation:


Simplifying
5(x + -3) + -2 = 15x + -47

Reorder the terms:
5(-3 + x) + -2 = 15x + -47
(-3 * 5 + x * 5) + -2 = 15x + -47
(-15 + 5x) + -2 = 15x + -47

Reorder the terms:
-15 + -2 + 5x = 15x + -47

Combine like terms: -15 + -2 = -17
-17 + 5x = 15x + -47

Reorder the terms:
-17 + 5x = -47 + 15x

Solving
-17 + 5x = -47 + 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.
-17 + 5x + -15x = -47 + 15x + -15x

Combine like terms: 5x + -15x = -10x
-17 + -10x = -47 + 15x + -15x

Combine like terms: 15x + -15x = 0
-17 + -10x = -47 + 0
-17 + -10x = -47

Add '17' to each side of the equation.
-17 + 17 + -10x = -47 + 17

Combine like terms: -17 + 17 = 0
0 + -10x = -47 + 17
-10x = -47 + 17

Combine like terms: -47 + 17 = -30
-10x = -30

Divide each side by '-10'.
x = 3

Simplifying
x = 3

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