4(5+x)=2(6+3x)

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Solution for 4(5+x)=2(6+3x) equation: 


Simplifying
4(5 + x) = 2(6 + 3x)
(5 * 4 + x * 4) = 2(6 + 3x)
(20 + 4x) = 2(6 + 3x)
20 + 4x = (6 * 2 + 3x * 2)
20 + 4x = (12 + 6x)

Solving
20 + 4x = 12 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
20 + 4x + -6x = 12 + 6x + -6x

Combine like terms: 4x + -6x = -2x
20 + -2x = 12 + 6x + -6x

Combine like terms: 6x + -6x = 0
20 + -2x = 12 + 0
20 + -2x = 12

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

Combine like terms: 20 + -20 = 0
0 + -2x = 12 + -20
-2x = 12 + -20

Combine like terms: 12 + -20 = -8
-2x = -8

Divide each side by '-2'.
x = 4

Simplifying
x = 4

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