5(x+3)-10=-30x+50

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Solution for 5(x+3)-10=-30x+50 equation:


Simplifying
5(x + 3) + -10 = -30x + 50

Reorder the terms:
5(3 + x) + -10 = -30x + 50
(3 * 5 + x * 5) + -10 = -30x + 50
(15 + 5x) + -10 = -30x + 50

Reorder the terms:
15 + -10 + 5x = -30x + 50

Combine like terms: 15 + -10 = 5
5 + 5x = -30x + 50

Reorder the terms:
5 + 5x = 50 + -30x

Solving
5 + 5x = 50 + -30x

Solving for variable 'x'.

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

Add '30x' to each side of the equation.
5 + 5x + 30x = 50 + -30x + 30x

Combine like terms: 5x + 30x = 35x
5 + 35x = 50 + -30x + 30x

Combine like terms: -30x + 30x = 0
5 + 35x = 50 + 0
5 + 35x = 50

Add '-5' to each side of the equation.
5 + -5 + 35x = 50 + -5

Combine like terms: 5 + -5 = 0
0 + 35x = 50 + -5
35x = 50 + -5

Combine like terms: 50 + -5 = 45
35x = 45

Divide each side by '35'.
x = 1.285714286

Simplifying
x = 1.285714286

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