4(1+5x)+6=2(12+x)+4x

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Solution for 4(1+5x)+6=2(12+x)+4x equation:


Simplifying
4(1 + 5x) + 6 = 2(12 + x) + 4x
(1 * 4 + 5x * 4) + 6 = 2(12 + x) + 4x
(4 + 20x) + 6 = 2(12 + x) + 4x

Reorder the terms:
4 + 6 + 20x = 2(12 + x) + 4x

Combine like terms: 4 + 6 = 10
10 + 20x = 2(12 + x) + 4x
10 + 20x = (12 * 2 + x * 2) + 4x
10 + 20x = (24 + 2x) + 4x

Combine like terms: 2x + 4x = 6x
10 + 20x = 24 + 6x

Solving
10 + 20x = 24 + 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.
10 + 20x + -6x = 24 + 6x + -6x

Combine like terms: 20x + -6x = 14x
10 + 14x = 24 + 6x + -6x

Combine like terms: 6x + -6x = 0
10 + 14x = 24 + 0
10 + 14x = 24

Add '-10' to each side of the equation.
10 + -10 + 14x = 24 + -10

Combine like terms: 10 + -10 = 0
0 + 14x = 24 + -10
14x = 24 + -10

Combine like terms: 24 + -10 = 14
14x = 14

Divide each side by '14'.
x = 1

Simplifying
x = 1

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