5(x-3)-10=28x-301

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Solution for 5(x-3)-10=28x-301 equation:


Simplifying
5(x + -3) + -10 = 28x + -301

Reorder the terms:
5(-3 + x) + -10 = 28x + -301
(-3 * 5 + x * 5) + -10 = 28x + -301
(-15 + 5x) + -10 = 28x + -301

Reorder the terms:
-15 + -10 + 5x = 28x + -301

Combine like terms: -15 + -10 = -25
-25 + 5x = 28x + -301

Reorder the terms:
-25 + 5x = -301 + 28x

Solving
-25 + 5x = -301 + 28x

Solving for variable 'x'.

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

Add '-28x' to each side of the equation.
-25 + 5x + -28x = -301 + 28x + -28x

Combine like terms: 5x + -28x = -23x
-25 + -23x = -301 + 28x + -28x

Combine like terms: 28x + -28x = 0
-25 + -23x = -301 + 0
-25 + -23x = -301

Add '25' to each side of the equation.
-25 + 25 + -23x = -301 + 25

Combine like terms: -25 + 25 = 0
0 + -23x = -301 + 25
-23x = -301 + 25

Combine like terms: -301 + 25 = -276
-23x = -276

Divide each side by '-23'.
x = 12

Simplifying
x = 12

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