10(2x-30)=(7x+5)

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Solution for 10(2x-30)=(7x+5) equation:


Simplifying
10(2x + -30) = (7x + 5)

Reorder the terms:
10(-30 + 2x) = (7x + 5)
(-30 * 10 + 2x * 10) = (7x + 5)
(-300 + 20x) = (7x + 5)

Reorder the terms:
-300 + 20x = (5 + 7x)

Remove parenthesis around (5 + 7x)
-300 + 20x = 5 + 7x

Solving
-300 + 20x = 5 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-300 + 20x + -7x = 5 + 7x + -7x

Combine like terms: 20x + -7x = 13x
-300 + 13x = 5 + 7x + -7x

Combine like terms: 7x + -7x = 0
-300 + 13x = 5 + 0
-300 + 13x = 5

Add '300' to each side of the equation.
-300 + 300 + 13x = 5 + 300

Combine like terms: -300 + 300 = 0
0 + 13x = 5 + 300
13x = 5 + 300

Combine like terms: 5 + 300 = 305
13x = 305

Divide each side by '13'.
x = 23.46153846

Simplifying
x = 23.46153846

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