4(3x+1)-7x=6+3x+2

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Solution for 4(3x+1)-7x=6+3x+2 equation:


Simplifying
4(3x + 1) + -7x = 6 + 3x + 2

Reorder the terms:
4(1 + 3x) + -7x = 6 + 3x + 2
(1 * 4 + 3x * 4) + -7x = 6 + 3x + 2
(4 + 12x) + -7x = 6 + 3x + 2

Combine like terms: 12x + -7x = 5x
4 + 5x = 6 + 3x + 2

Reorder the terms:
4 + 5x = 6 + 2 + 3x

Combine like terms: 6 + 2 = 8
4 + 5x = 8 + 3x

Solving
4 + 5x = 8 + 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 + 5x + -3x = 8 + 3x + -3x

Combine like terms: 5x + -3x = 2x
4 + 2x = 8 + 3x + -3x

Combine like terms: 3x + -3x = 0
4 + 2x = 8 + 0
4 + 2x = 8

Add '-4' to each side of the equation.
4 + -4 + 2x = 8 + -4

Combine like terms: 4 + -4 = 0
0 + 2x = 8 + -4
2x = 8 + -4

Combine like terms: 8 + -4 = 4
2x = 4

Divide each side by '2'.
x = 2

Simplifying
x = 2

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