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

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


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

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

Combine like terms: 3 + -4 = -1
-1 + 7 + 1x + 2x = 5 + -1(x + -6)

Combine like terms: -1 + 7 = 6
6 + 1x + 2x = 5 + -1(x + -6)

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

Reorder the terms:
6 + 3x = 5 + -1(-6 + x)
6 + 3x = 5 + (-6 * -1 + x * -1)
6 + 3x = 5 + (6 + -1x)

Combine like terms: 5 + 6 = 11
6 + 3x = 11 + -1x

Solving
6 + 3x = 11 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
6 + 3x + x = 11 + -1x + x

Combine like terms: 3x + x = 4x
6 + 4x = 11 + -1x + x

Combine like terms: -1x + x = 0
6 + 4x = 11 + 0
6 + 4x = 11

Add '-6' to each side of the equation.
6 + -6 + 4x = 11 + -6

Combine like terms: 6 + -6 = 0
0 + 4x = 11 + -6
4x = 11 + -6

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

Divide each side by '4'.
x = 1.25

Simplifying
x = 1.25

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