5x+2(x+6)-7x=3x+8

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Solution for 5x+2(x+6)-7x=3x+8 equation:


Simplifying
5x + 2(x + 6) + -7x = 3x + 8

Reorder the terms:
5x + 2(6 + x) + -7x = 3x + 8
5x + (6 * 2 + x * 2) + -7x = 3x + 8
5x + (12 + 2x) + -7x = 3x + 8

Reorder the terms:
12 + 5x + 2x + -7x = 3x + 8

Combine like terms: 5x + 2x = 7x
12 + 7x + -7x = 3x + 8

Combine like terms: 7x + -7x = 0
12 + 0 = 3x + 8
12 = 3x + 8

Reorder the terms:
12 = 8 + 3x

Solving
12 = 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.
12 + -3x = 8 + 3x + -3x

Combine like terms: 3x + -3x = 0
12 + -3x = 8 + 0
12 + -3x = 8

Add '-12' to each side of the equation.
12 + -12 + -3x = 8 + -12

Combine like terms: 12 + -12 = 0
0 + -3x = 8 + -12
-3x = 8 + -12

Combine like terms: 8 + -12 = -4
-3x = -4

Divide each side by '-3'.
x = 1.333333333

Simplifying
x = 1.333333333

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