-(2x-2)+4(x+6)=3x+8+1

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Solution for -(2x-2)+4(x+6)=3x+8+1 equation:


Simplifying
-1(2x + -2) + 4(x + 6) = 3x + 8 + 1

Reorder the terms:
-1(-2 + 2x) + 4(x + 6) = 3x + 8 + 1
(-2 * -1 + 2x * -1) + 4(x + 6) = 3x + 8 + 1
(2 + -2x) + 4(x + 6) = 3x + 8 + 1

Reorder the terms:
2 + -2x + 4(6 + x) = 3x + 8 + 1
2 + -2x + (6 * 4 + x * 4) = 3x + 8 + 1
2 + -2x + (24 + 4x) = 3x + 8 + 1

Reorder the terms:
2 + 24 + -2x + 4x = 3x + 8 + 1

Combine like terms: 2 + 24 = 26
26 + -2x + 4x = 3x + 8 + 1

Combine like terms: -2x + 4x = 2x
26 + 2x = 3x + 8 + 1

Reorder the terms:
26 + 2x = 8 + 1 + 3x

Combine like terms: 8 + 1 = 9
26 + 2x = 9 + 3x

Solving
26 + 2x = 9 + 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.
26 + 2x + -3x = 9 + 3x + -3x

Combine like terms: 2x + -3x = -1x
26 + -1x = 9 + 3x + -3x

Combine like terms: 3x + -3x = 0
26 + -1x = 9 + 0
26 + -1x = 9

Add '-26' to each side of the equation.
26 + -26 + -1x = 9 + -26

Combine like terms: 26 + -26 = 0
0 + -1x = 9 + -26
-1x = 9 + -26

Combine like terms: 9 + -26 = -17
-1x = -17

Divide each side by '-1'.
x = 17

Simplifying
x = 17

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