2(3x+4)=5(2x-10)

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Solution for 2(3x+4)=5(2x-10) equation:


Simplifying
2(3x + 4) = 5(2x + -10)

Reorder the terms:
2(4 + 3x) = 5(2x + -10)
(4 * 2 + 3x * 2) = 5(2x + -10)
(8 + 6x) = 5(2x + -10)

Reorder the terms:
8 + 6x = 5(-10 + 2x)
8 + 6x = (-10 * 5 + 2x * 5)
8 + 6x = (-50 + 10x)

Solving
8 + 6x = -50 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
8 + 6x + -10x = -50 + 10x + -10x

Combine like terms: 6x + -10x = -4x
8 + -4x = -50 + 10x + -10x

Combine like terms: 10x + -10x = 0
8 + -4x = -50 + 0
8 + -4x = -50

Add '-8' to each side of the equation.
8 + -8 + -4x = -50 + -8

Combine like terms: 8 + -8 = 0
0 + -4x = -50 + -8
-4x = -50 + -8

Combine like terms: -50 + -8 = -58
-4x = -58

Divide each side by '-4'.
x = 14.5

Simplifying
x = 14.5

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