.5(4x-6)-1=.66(2x-4)

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Solution for .5(4x-6)-1=.66(2x-4) equation:


Simplifying
0.5(4x + -6) + -1 = 0.66(2x + -4)

Reorder the terms:
0.5(-6 + 4x) + -1 = 0.66(2x + -4)
(-6 * 0.5 + 4x * 0.5) + -1 = 0.66(2x + -4)
(-3 + 2x) + -1 = 0.66(2x + -4)

Reorder the terms:
-3 + -1 + 2x = 0.66(2x + -4)

Combine like terms: -3 + -1 = -4
-4 + 2x = 0.66(2x + -4)

Reorder the terms:
-4 + 2x = 0.66(-4 + 2x)
-4 + 2x = (-4 * 0.66 + 2x * 0.66)
-4 + 2x = (-2.64 + 1.32x)

Solving
-4 + 2x = -2.64 + 1.32x

Solving for variable 'x'.

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

Add '-1.32x' to each side of the equation.
-4 + 2x + -1.32x = -2.64 + 1.32x + -1.32x

Combine like terms: 2x + -1.32x = 0.68x
-4 + 0.68x = -2.64 + 1.32x + -1.32x

Combine like terms: 1.32x + -1.32x = 0.00
-4 + 0.68x = -2.64 + 0.00
-4 + 0.68x = -2.64

Add '4' to each side of the equation.
-4 + 4 + 0.68x = -2.64 + 4

Combine like terms: -4 + 4 = 0
0 + 0.68x = -2.64 + 4
0.68x = -2.64 + 4

Combine like terms: -2.64 + 4 = 1.36
0.68x = 1.36

Divide each side by '0.68'.
x = 2

Simplifying
x = 2

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