5(3+x)=3(3x-1)-10

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Solution for 5(3+x)=3(3x-1)-10 equation: 


Simplifying
5(3 + x) = 3(3x + -1) + -10
(3 * 5 + x * 5) = 3(3x + -1) + -10
(15 + 5x) = 3(3x + -1) + -10

Reorder the terms:
15 + 5x = 3(-1 + 3x) + -10
15 + 5x = (-1 * 3 + 3x * 3) + -10
15 + 5x = (-3 + 9x) + -10

Reorder the terms:
15 + 5x = -3 + -10 + 9x

Combine like terms: -3 + -10 = -13
15 + 5x = -13 + 9x

Solving
15 + 5x = -13 + 9x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-9x' to each side of the equation.
15 + 5x + -9x = -13 + 9x + -9x

Combine like terms: 5x + -9x = -4x
15 + -4x = -13 + 9x + -9x

Combine like terms: 9x + -9x = 0
15 + -4x = -13 + 0
15 + -4x = -13

Add '-15' to each side of the equation.
15 + -15 + -4x = -13 + -15

Combine like terms: 15 + -15 = 0
0 + -4x = -13 + -15
-4x = -13 + -15

Combine like terms: -13 + -15 = -28
-4x = -28

Divide each side by '-4'.
x = 7

Simplifying
x = 7

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