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

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


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

Reorder the terms:
20 + 4x = 2(3 + x) + 6x
20 + 4x = (3 * 2 + x * 2) + 6x
20 + 4x = (6 + 2x) + 6x

Combine like terms: 2x + 6x = 8x
20 + 4x = 6 + 8x

Solving
20 + 4x = 6 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
20 + 4x + -8x = 6 + 8x + -8x

Combine like terms: 4x + -8x = -4x
20 + -4x = 6 + 8x + -8x

Combine like terms: 8x + -8x = 0
20 + -4x = 6 + 0
20 + -4x = 6

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

Combine like terms: 20 + -20 = 0
0 + -4x = 6 + -20
-4x = 6 + -20

Combine like terms: 6 + -20 = -14
-4x = -14

Divide each side by '-4'.
x = 3.5

Simplifying
x = 3.5

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