5x-30=-10(3-cx)

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


Simplifying
5x + -30 = -10(3 + -1cx)

Reorder the terms:
-30 + 5x = -10(3 + -1cx)
-30 + 5x = (3 * -10 + -1cx * -10)
-30 + 5x = (-30 + 10cx)

Add '30' to each side of the equation.
-30 + 30 + 5x = -30 + 30 + 10cx

Combine like terms: -30 + 30 = 0
0 + 5x = -30 + 30 + 10cx
5x = -30 + 30 + 10cx

Combine like terms: -30 + 30 = 0
5x = 0 + 10cx
5x = 10cx

Solving
5x = 10cx

Solving for variable 'x'.

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

Add '-10cx' to each side of the equation.
-10cx + 5x = 10cx + -10cx

Combine like terms: 10cx + -10cx = 0
-10cx + 5x = 0

Factor out the Greatest Common Factor (GCF), '5x'.
5x(-2c + 1) = 0

Ignore the factor 5.

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(-2c + 1)' equal to zero and attempt to solve: Simplifying -2c + 1 = 0 Reorder the terms: 1 + -2c = 0 Solving 1 + -2c = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2c = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2c = 0 + -1 -2c = 0 + -1 Combine like terms: 0 + -1 = -1 -2c = -1 Add '2c' to each side of the equation. -2c + 2c = -1 + 2c Combine like terms: -2c + 2c = 0 0 = -1 + 2c Simplifying 0 = -1 + 2c The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

x = {0}

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