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

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Solution for 0.25(x-3)=4x-6(x+2) equation: 


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

Reorder the terms:
0.25(-3 + x) = 4x + -6(x + 2)
(-3 * 0.25 + x * 0.25) = 4x + -6(x + 2)
(-0.75 + 0.25x) = 4x + -6(x + 2)

Reorder the terms:
-0.75 + 0.25x = 4x + -6(2 + x)
-0.75 + 0.25x = 4x + (2 * -6 + x * -6)
-0.75 + 0.25x = 4x + (-12 + -6x)

Reorder the terms:
-0.75 + 0.25x = -12 + 4x + -6x

Combine like terms: 4x + -6x = -2x
-0.75 + 0.25x = -12 + -2x

Solving
-0.75 + 0.25x = -12 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-0.75 + 0.25x + 2x = -12 + -2x + 2x

Combine like terms: 0.25x + 2x = 2.25x
-0.75 + 2.25x = -12 + -2x + 2x

Combine like terms: -2x + 2x = 0
-0.75 + 2.25x = -12 + 0
-0.75 + 2.25x = -12

Add '0.75' to each side of the equation.
-0.75 + 0.75 + 2.25x = -12 + 0.75

Combine like terms: -0.75 + 0.75 = 0.00
0.00 + 2.25x = -12 + 0.75
2.25x = -12 + 0.75

Combine like terms: -12 + 0.75 = -11.25
2.25x = -11.25

Divide each side by '2.25'.
x = -5

Simplifying
x = -5

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