3x-6(2x-3)=-2(x-1)16

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Solution for 3x-6(2x-3)=-2(x-1)16 equation:


Simplifying
3x + -6(2x + -3) = -2(x + -1) * 16

Reorder the terms:
3x + -6(-3 + 2x) = -2(x + -1) * 16
3x + (-3 * -6 + 2x * -6) = -2(x + -1) * 16
3x + (18 + -12x) = -2(x + -1) * 16

Reorder the terms:
18 + 3x + -12x = -2(x + -1) * 16

Combine like terms: 3x + -12x = -9x
18 + -9x = -2(x + -1) * 16

Reorder the terms:
18 + -9x = -2(-1 + x) * 16

Reorder the terms for easier multiplication:
18 + -9x = -2 * 16(-1 + x)

Multiply -2 * 16
18 + -9x = -32(-1 + x)
18 + -9x = (-1 * -32 + x * -32)
18 + -9x = (32 + -32x)

Solving
18 + -9x = 32 + -32x

Solving for variable 'x'.

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

Add '32x' to each side of the equation.
18 + -9x + 32x = 32 + -32x + 32x

Combine like terms: -9x + 32x = 23x
18 + 23x = 32 + -32x + 32x

Combine like terms: -32x + 32x = 0
18 + 23x = 32 + 0
18 + 23x = 32

Add '-18' to each side of the equation.
18 + -18 + 23x = 32 + -18

Combine like terms: 18 + -18 = 0
0 + 23x = 32 + -18
23x = 32 + -18

Combine like terms: 32 + -18 = 14
23x = 14

Divide each side by '23'.
x = 0.6086956522

Simplifying
x = 0.6086956522

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