4(x-0.25)=24-6(x-1.25)

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Solution for 4(x-0.25)=24-6(x-1.25) equation: 


Simplifying
4(x + -0.25) = 24 + -6(x + -1.25)

Reorder the terms:
4(-0.25 + x) = 24 + -6(x + -1.25)
(-0.25 * 4 + x * 4) = 24 + -6(x + -1.25)
(-1 + 4x) = 24 + -6(x + -1.25)

Reorder the terms:
-1 + 4x = 24 + -6(-1.25 + x)
-1 + 4x = 24 + (-1.25 * -6 + x * -6)
-1 + 4x = 24 + (7.5 + -6x)

Combine like terms: 24 + 7.5 = 31.5
-1 + 4x = 31.5 + -6x

Solving
-1 + 4x = 31.5 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-1 + 4x + 6x = 31.5 + -6x + 6x

Combine like terms: 4x + 6x = 10x
-1 + 10x = 31.5 + -6x + 6x

Combine like terms: -6x + 6x = 0
-1 + 10x = 31.5 + 0
-1 + 10x = 31.5

Add '1' to each side of the equation.
-1 + 1 + 10x = 31.5 + 1

Combine like terms: -1 + 1 = 0
0 + 10x = 31.5 + 1
10x = 31.5 + 1

Combine like terms: 31.5 + 1 = 32.5
10x = 32.5

Divide each side by '10'.
x = 3.25

Simplifying
x = 3.25

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