-5x+30=3(5x+3)+1

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Solution for -5x+30=3(5x+3)+1 equation:


Simplifying
-5x + 30 = 3(5x + 3) + 1

Reorder the terms:
30 + -5x = 3(5x + 3) + 1

Reorder the terms:
30 + -5x = 3(3 + 5x) + 1
30 + -5x = (3 * 3 + 5x * 3) + 1
30 + -5x = (9 + 15x) + 1

Reorder the terms:
30 + -5x = 9 + 1 + 15x

Combine like terms: 9 + 1 = 10
30 + -5x = 10 + 15x

Solving
30 + -5x = 10 + 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.
30 + -5x + -15x = 10 + 15x + -15x

Combine like terms: -5x + -15x = -20x
30 + -20x = 10 + 15x + -15x

Combine like terms: 15x + -15x = 0
30 + -20x = 10 + 0
30 + -20x = 10

Add '-30' to each side of the equation.
30 + -30 + -20x = 10 + -30

Combine like terms: 30 + -30 = 0
0 + -20x = 10 + -30
-20x = 10 + -30

Combine like terms: 10 + -30 = -20
-20x = -20

Divide each side by '-20'.
x = 1

Simplifying
x = 1

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