4[6-(1+2x)]-2x=-9+2(1-15x)

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Solution for 4[6-(1+2x)]-2x=-9+2(1-15x) equation:


Simplifying
4[6 + -1(1 + 2x)] + -2x = -9 + 2(1 + -15x)
4[6 + (1 * -1 + 2x * -1)] + -2x = -9 + 2(1 + -15x)
4[6 + (-1 + -2x)] + -2x = -9 + 2(1 + -15x)

Combine like terms: 6 + -1 = 5
4[5 + -2x] + -2x = -9 + 2(1 + -15x)
[5 * 4 + -2x * 4] + -2x = -9 + 2(1 + -15x)
[20 + -8x] + -2x = -9 + 2(1 + -15x)

Combine like terms: -8x + -2x = -10x
20 + -10x = -9 + 2(1 + -15x)
20 + -10x = -9 + (1 * 2 + -15x * 2)
20 + -10x = -9 + (2 + -30x)

Combine like terms: -9 + 2 = -7
20 + -10x = -7 + -30x

Solving
20 + -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.
20 + -10x + 30x = -7 + -30x + 30x

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

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

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

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

Combine like terms: -7 + -20 = -27
20x = -27

Divide each side by '20'.
x = -1.35

Simplifying
x = -1.35

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