4(3x+1)=25+3(2x-1)

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Solution for 4(3x+1)=25+3(2x-1) equation:


Simplifying
4(3x + 1) = 25 + 3(2x + -1)

Reorder the terms:
4(1 + 3x) = 25 + 3(2x + -1)
(1 * 4 + 3x * 4) = 25 + 3(2x + -1)
(4 + 12x) = 25 + 3(2x + -1)

Reorder the terms:
4 + 12x = 25 + 3(-1 + 2x)
4 + 12x = 25 + (-1 * 3 + 2x * 3)
4 + 12x = 25 + (-3 + 6x)

Combine like terms: 25 + -3 = 22
4 + 12x = 22 + 6x

Solving
4 + 12x = 22 + 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.
4 + 12x + -6x = 22 + 6x + -6x

Combine like terms: 12x + -6x = 6x
4 + 6x = 22 + 6x + -6x

Combine like terms: 6x + -6x = 0
4 + 6x = 22 + 0
4 + 6x = 22

Add '-4' to each side of the equation.
4 + -4 + 6x = 22 + -4

Combine like terms: 4 + -4 = 0
0 + 6x = 22 + -4
6x = 22 + -4

Combine like terms: 22 + -4 = 18
6x = 18

Divide each side by '6'.
x = 3

Simplifying
x = 3

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