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

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


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

Multiply -3 * 1
-3 + -1(-2x) + -4(x + -4) + -1(2 + -1x) = 1(x + -4)

Remove parenthesis around (-2x)
-3 + -1 * -2x + -4(x + -4) + -1(2 + -1x) = 1(x + -4)

Multiply -1 * -2
-3 + 2x + -4(x + -4) + -1(2 + -1x) = 1(x + -4)

Reorder the terms:
-3 + 2x + -4(-4 + x) + -1(2 + -1x) = 1(x + -4)
-3 + 2x + (-4 * -4 + x * -4) + -1(2 + -1x) = 1(x + -4)
-3 + 2x + (16 + -4x) + -1(2 + -1x) = 1(x + -4)
-3 + 2x + 16 + -4x + (2 * -1 + -1x * -1) = 1(x + -4)
-3 + 2x + 16 + -4x + (-2 + 1x) = 1(x + -4)

Reorder the terms:
-3 + 16 + -2 + 2x + -4x + 1x = 1(x + -4)

Combine like terms: -3 + 16 = 13
13 + -2 + 2x + -4x + 1x = 1(x + -4)

Combine like terms: 13 + -2 = 11
11 + 2x + -4x + 1x = 1(x + -4)

Combine like terms: 2x + -4x = -2x
11 + -2x + 1x = 1(x + -4)

Combine like terms: -2x + 1x = -1x
11 + -1x = 1(x + -4)

Reorder the terms:
11 + -1x = 1(-4 + x)
11 + -1x = (-4 * 1 + x * 1)
11 + -1x = (-4 + 1x)

Solving
11 + -1x = -4 + 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.
11 + -1x + -1x = -4 + 1x + -1x

Combine like terms: -1x + -1x = -2x
11 + -2x = -4 + 1x + -1x

Combine like terms: 1x + -1x = 0
11 + -2x = -4 + 0
11 + -2x = -4

Add '-11' to each side of the equation.
11 + -11 + -2x = -4 + -11

Combine like terms: 11 + -11 = 0
0 + -2x = -4 + -11
-2x = -4 + -11

Combine like terms: -4 + -11 = -15
-2x = -15

Divide each side by '-2'.
x = 7.5

Simplifying
x = 7.5

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