4(3x+1)=15+2-3x+2

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Solution for 4(3x+1)=15+2-3x+2 equation:


Simplifying
4(3x + 1) = 15 + 2 + -3x + 2

Reorder the terms:
4(1 + 3x) = 15 + 2 + -3x + 2
(1 * 4 + 3x * 4) = 15 + 2 + -3x + 2
(4 + 12x) = 15 + 2 + -3x + 2

Reorder the terms:
4 + 12x = 15 + 2 + 2 + -3x

Combine like terms: 15 + 2 = 17
4 + 12x = 17 + 2 + -3x

Combine like terms: 17 + 2 = 19
4 + 12x = 19 + -3x

Solving
4 + 12x = 19 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
4 + 12x + 3x = 19 + -3x + 3x

Combine like terms: 12x + 3x = 15x
4 + 15x = 19 + -3x + 3x

Combine like terms: -3x + 3x = 0
4 + 15x = 19 + 0
4 + 15x = 19

Add '-4' to each side of the equation.
4 + -4 + 15x = 19 + -4

Combine like terms: 4 + -4 = 0
0 + 15x = 19 + -4
15x = 19 + -4

Combine like terms: 19 + -4 = 15
15x = 15

Divide each side by '15'.
x = 1

Simplifying
x = 1

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