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

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


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

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

Reorder the terms:
10 + 2x = 4(-5 + 3x)
10 + 2x = (-5 * 4 + 3x * 4)
10 + 2x = (-20 + 12x)

Solving
10 + 2x = -20 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
10 + 2x + -12x = -20 + 12x + -12x

Combine like terms: 2x + -12x = -10x
10 + -10x = -20 + 12x + -12x

Combine like terms: 12x + -12x = 0
10 + -10x = -20 + 0
10 + -10x = -20

Add '-10' to each side of the equation.
10 + -10 + -10x = -20 + -10

Combine like terms: 10 + -10 = 0
0 + -10x = -20 + -10
-10x = -20 + -10

Combine like terms: -20 + -10 = -30
-10x = -30

Divide each side by '-10'.
x = 3

Simplifying
x = 3

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