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

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


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

Reorder the terms:
5(7 + x) = 10(2x + -5)
(7 * 5 + x * 5) = 10(2x + -5)
(35 + 5x) = 10(2x + -5)

Reorder the terms:
35 + 5x = 10(-5 + 2x)
35 + 5x = (-5 * 10 + 2x * 10)
35 + 5x = (-50 + 20x)

Solving
35 + 5x = -50 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
35 + 5x + -20x = -50 + 20x + -20x

Combine like terms: 5x + -20x = -15x
35 + -15x = -50 + 20x + -20x

Combine like terms: 20x + -20x = 0
35 + -15x = -50 + 0
35 + -15x = -50

Add '-35' to each side of the equation.
35 + -35 + -15x = -50 + -35

Combine like terms: 35 + -35 = 0
0 + -15x = -50 + -35
-15x = -50 + -35

Combine like terms: -50 + -35 = -85
-15x = -85

Divide each side by '-15'.
x = 5.666666667

Simplifying
x = 5.666666667

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