2[2-(3+4x)]-2x=-9+2(1-15x)

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Solution for 2[2-(3+4x)]-2x=-9+2(1-15x) equation: 


Simplifying
2[2 + -1(3 + 4x)] + -2x = -9 + 2(1 + -15x)
2[2 + (3 * -1 + 4x * -1)] + -2x = -9 + 2(1 + -15x)
2[2 + (-3 + -4x)] + -2x = -9 + 2(1 + -15x)

Combine like terms: 2 + -3 = -1
2[-1 + -4x] + -2x = -9 + 2(1 + -15x)
[-1 * 2 + -4x * 2] + -2x = -9 + 2(1 + -15x)
[-2 + -8x] + -2x = -9 + 2(1 + -15x)

Combine like terms: -8x + -2x = -10x
-2 + -10x = -9 + 2(1 + -15x)
-2 + -10x = -9 + (1 * 2 + -15x * 2)
-2 + -10x = -9 + (2 + -30x)

Combine like terms: -9 + 2 = -7
-2 + -10x = -7 + -30x

Solving
-2 + -10x = -7 + -30x

Solving for variable 'x'.

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

Add '30x' to each side of the equation.
-2 + -10x + 30x = -7 + -30x + 30x

Combine like terms: -10x + 30x = 20x
-2 + 20x = -7 + -30x + 30x

Combine like terms: -30x + 30x = 0
-2 + 20x = -7 + 0
-2 + 20x = -7

Add '2' to each side of the equation.
-2 + 2 + 20x = -7 + 2

Combine like terms: -2 + 2 = 0
0 + 20x = -7 + 2
20x = -7 + 2

Combine like terms: -7 + 2 = -5
20x = -5

Divide each side by '20'.
x = -0.25

Simplifying
x = -0.25

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