2-3(2x-6)=4(2x-.25)

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Solution for 2-3(2x-6)=4(2x-.25) equation:


Simplifying
2 + -3(2x + -6) = 4(2x + -0.25)

Reorder the terms:
2 + -3(-6 + 2x) = 4(2x + -0.25)
2 + (-6 * -3 + 2x * -3) = 4(2x + -0.25)
2 + (18 + -6x) = 4(2x + -0.25)

Combine like terms: 2 + 18 = 20
20 + -6x = 4(2x + -0.25)

Reorder the terms:
20 + -6x = 4(-0.25 + 2x)
20 + -6x = (-0.25 * 4 + 2x * 4)
20 + -6x = (-1 + 8x)

Solving
20 + -6x = -1 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
20 + -6x + -8x = -1 + 8x + -8x

Combine like terms: -6x + -8x = -14x
20 + -14x = -1 + 8x + -8x

Combine like terms: 8x + -8x = 0
20 + -14x = -1 + 0
20 + -14x = -1

Add '-20' to each side of the equation.
20 + -20 + -14x = -1 + -20

Combine like terms: 20 + -20 = 0
0 + -14x = -1 + -20
-14x = -1 + -20

Combine like terms: -1 + -20 = -21
-14x = -21

Divide each side by '-14'.
x = 1.5

Simplifying
x = 1.5

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