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

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


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

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

Combine like terms: 1 + -15 = -14
-14 + -3x = 5x + -30

Reorder the terms:
-14 + -3x = -30 + 5x

Solving
-14 + -3x = -30 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-14 + -3x + -5x = -30 + 5x + -5x

Combine like terms: -3x + -5x = -8x
-14 + -8x = -30 + 5x + -5x

Combine like terms: 5x + -5x = 0
-14 + -8x = -30 + 0
-14 + -8x = -30

Add '14' to each side of the equation.
-14 + 14 + -8x = -30 + 14

Combine like terms: -14 + 14 = 0
0 + -8x = -30 + 14
-8x = -30 + 14

Combine like terms: -30 + 14 = -16
-8x = -16

Divide each side by '-8'.
x = 2

Simplifying
x = 2

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