8x+10-3x+2=2(x+4)+x+6

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Solution for 8x+10-3x+2=2(x+4)+x+6 equation:


Simplifying
8x + 10 + -3x + 2 = 2(x + 4) + x + 6

Reorder the terms:
10 + 2 + 8x + -3x = 2(x + 4) + x + 6

Combine like terms: 10 + 2 = 12
12 + 8x + -3x = 2(x + 4) + x + 6

Combine like terms: 8x + -3x = 5x
12 + 5x = 2(x + 4) + x + 6

Reorder the terms:
12 + 5x = 2(4 + x) + x + 6
12 + 5x = (4 * 2 + x * 2) + x + 6
12 + 5x = (8 + 2x) + x + 6

Reorder the terms:
12 + 5x = 8 + 6 + 2x + x

Combine like terms: 8 + 6 = 14
12 + 5x = 14 + 2x + x

Combine like terms: 2x + x = 3x
12 + 5x = 14 + 3x

Solving
12 + 5x = 14 + 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 + 5x + -3x = 14 + 3x + -3x

Combine like terms: 5x + -3x = 2x
12 + 2x = 14 + 3x + -3x

Combine like terms: 3x + -3x = 0
12 + 2x = 14 + 0
12 + 2x = 14

Add '-12' to each side of the equation.
12 + -12 + 2x = 14 + -12

Combine like terms: 12 + -12 = 0
0 + 2x = 14 + -12
2x = 14 + -12

Combine like terms: 14 + -12 = 2
2x = 2

Divide each side by '2'.
x = 1

Simplifying
x = 1

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