4(3x+1)-7-7=6+5x-2

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Solution for 4(3x+1)-7-7=6+5x-2 equation:


Simplifying
4(3x + 1) + -7 + -7 = 6 + 5x + -2

Reorder the terms:
4(1 + 3x) + -7 + -7 = 6 + 5x + -2
(1 * 4 + 3x * 4) + -7 + -7 = 6 + 5x + -2
(4 + 12x) + -7 + -7 = 6 + 5x + -2

Reorder the terms:
4 + -7 + -7 + 12x = 6 + 5x + -2

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

Combine like terms: -3 + -7 = -10
-10 + 12x = 6 + 5x + -2

Reorder the terms:
-10 + 12x = 6 + -2 + 5x

Combine like terms: 6 + -2 = 4
-10 + 12x = 4 + 5x

Solving
-10 + 12x = 4 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-10 + 12x + -5x = 4 + 5x + -5x

Combine like terms: 12x + -5x = 7x
-10 + 7x = 4 + 5x + -5x

Combine like terms: 5x + -5x = 0
-10 + 7x = 4 + 0
-10 + 7x = 4

Add '10' to each side of the equation.
-10 + 10 + 7x = 4 + 10

Combine like terms: -10 + 10 = 0
0 + 7x = 4 + 10
7x = 4 + 10

Combine like terms: 4 + 10 = 14
7x = 14

Divide each side by '7'.
x = 2

Simplifying
x = 2

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