(3x+1)4=(2+2x)5

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Solution for (3x+1)4=(2+2x)5 equation:


Simplifying
(3x + 1) * 4 = (2 + 2x) * 5

Reorder the terms:
(1 + 3x) * 4 = (2 + 2x) * 5

Reorder the terms for easier multiplication:
4(1 + 3x) = (2 + 2x) * 5
(1 * 4 + 3x * 4) = (2 + 2x) * 5
(4 + 12x) = (2 + 2x) * 5

Reorder the terms for easier multiplication:
4 + 12x = 5(2 + 2x)
4 + 12x = (2 * 5 + 2x * 5)
4 + 12x = (10 + 10x)

Solving
4 + 12x = 10 + 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.
4 + 12x + -10x = 10 + 10x + -10x

Combine like terms: 12x + -10x = 2x
4 + 2x = 10 + 10x + -10x

Combine like terms: 10x + -10x = 0
4 + 2x = 10 + 0
4 + 2x = 10

Add '-4' to each side of the equation.
4 + -4 + 2x = 10 + -4

Combine like terms: 4 + -4 = 0
0 + 2x = 10 + -4
2x = 10 + -4

Combine like terms: 10 + -4 = 6
2x = 6

Divide each side by '2'.
x = 3

Simplifying
x = 3

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