3(5-x)=2(2x+5)

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Solution for 3(5-x)=2(2x+5) equation:


Simplifying
3(5 + -1x) = 2(2x + 5)
(5 * 3 + -1x * 3) = 2(2x + 5)
(15 + -3x) = 2(2x + 5)

Reorder the terms:
15 + -3x = 2(5 + 2x)
15 + -3x = (5 * 2 + 2x * 2)
15 + -3x = (10 + 4x)

Solving
15 + -3x = 10 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
15 + -3x + -4x = 10 + 4x + -4x

Combine like terms: -3x + -4x = -7x
15 + -7x = 10 + 4x + -4x

Combine like terms: 4x + -4x = 0
15 + -7x = 10 + 0
15 + -7x = 10

Add '-15' to each side of the equation.
15 + -15 + -7x = 10 + -15

Combine like terms: 15 + -15 = 0
0 + -7x = 10 + -15
-7x = 10 + -15

Combine like terms: 10 + -15 = -5
-7x = -5

Divide each side by '-7'.
x = 0.7142857143

Simplifying
x = 0.7142857143

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