4x-(2-x)=9[9-(1+3x-7)]

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Solution for 4x-(2-x)=9[9-(1+3x-7)] equation:


Simplifying
4x + -1(2 + -1x) = 9[9 + -1(1 + 3x + -7)]
4x + (2 * -1 + -1x * -1) = 9[9 + -1(1 + 3x + -7)]
4x + (-2 + 1x) = 9[9 + -1(1 + 3x + -7)]

Reorder the terms:
-2 + 4x + 1x = 9[9 + -1(1 + 3x + -7)]

Combine like terms: 4x + 1x = 5x
-2 + 5x = 9[9 + -1(1 + 3x + -7)]

Reorder the terms:
-2 + 5x = 9[9 + -1(1 + -7 + 3x)]

Combine like terms: 1 + -7 = -6
-2 + 5x = 9[9 + -1(-6 + 3x)]
-2 + 5x = 9[9 + (-6 * -1 + 3x * -1)]
-2 + 5x = 9[9 + (6 + -3x)]

Combine like terms: 9 + 6 = 15
-2 + 5x = 9[15 + -3x]
-2 + 5x = [15 * 9 + -3x * 9]
-2 + 5x = [135 + -27x]

Solving
-2 + 5x = 135 + -27x

Solving for variable 'x'.

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

Add '27x' to each side of the equation.
-2 + 5x + 27x = 135 + -27x + 27x

Combine like terms: 5x + 27x = 32x
-2 + 32x = 135 + -27x + 27x

Combine like terms: -27x + 27x = 0
-2 + 32x = 135 + 0
-2 + 32x = 135

Add '2' to each side of the equation.
-2 + 2 + 32x = 135 + 2

Combine like terms: -2 + 2 = 0
0 + 32x = 135 + 2
32x = 135 + 2

Combine like terms: 135 + 2 = 137
32x = 137

Divide each side by '32'.
x = 4.28125

Simplifying
x = 4.28125

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