.25x-(4)=.5(x-(7))

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Solution for .25x-(4)=.5(x-(7)) equation:


Simplifying
0.25x + -1(4) = 0.5(x + -1(7))

Multiply -1 * 4
0.25x + -4 = 0.5(x + -1(7))

Reorder the terms:
-4 + 0.25x = 0.5(x + -1(7))

Multiply -1 * 7
-4 + 0.25x = 0.5(x + -7)

Reorder the terms:
-4 + 0.25x = 0.5(-7 + x)
-4 + 0.25x = (-7 * 0.5 + x * 0.5)
-4 + 0.25x = (-3.5 + 0.5x)

Solving
-4 + 0.25x = -3.5 + 0.5x

Solving for variable 'x'.

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

Add '-0.5x' to each side of the equation.
-4 + 0.25x + -0.5x = -3.5 + 0.5x + -0.5x

Combine like terms: 0.25x + -0.5x = -0.25x
-4 + -0.25x = -3.5 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
-4 + -0.25x = -3.5 + 0.0
-4 + -0.25x = -3.5

Add '4' to each side of the equation.
-4 + 4 + -0.25x = -3.5 + 4

Combine like terms: -4 + 4 = 0
0 + -0.25x = -3.5 + 4
-0.25x = -3.5 + 4

Combine like terms: -3.5 + 4 = 0.5
-0.25x = 0.5

Divide each side by '-0.25'.
x = -2

Simplifying
x = -2

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