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

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


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

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

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

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

Combine like terms: 3 + -8 = -5
-5 + 3x + 2x = 2x + -1(x + -6)

Combine like terms: 3x + 2x = 5x
-5 + 5x = 2x + -1(x + -6)

Reorder the terms:
-5 + 5x = 2x + -1(-6 + x)
-5 + 5x = 2x + (-6 * -1 + x * -1)
-5 + 5x = 2x + (6 + -1x)

Reorder the terms:
-5 + 5x = 6 + 2x + -1x

Combine like terms: 2x + -1x = 1x
-5 + 5x = 6 + 1x

Solving
-5 + 5x = 6 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-5 + 5x + -1x = 6 + 1x + -1x

Combine like terms: 5x + -1x = 4x
-5 + 4x = 6 + 1x + -1x

Combine like terms: 1x + -1x = 0
-5 + 4x = 6 + 0
-5 + 4x = 6

Add '5' to each side of the equation.
-5 + 5 + 4x = 6 + 5

Combine like terms: -5 + 5 = 0
0 + 4x = 6 + 5
4x = 6 + 5

Combine like terms: 6 + 5 = 11
4x = 11

Divide each side by '4'.
x = 2.75

Simplifying
x = 2.75

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