2.5(x-4)-6x=3-x

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Solution for 2.5(x-4)-6x=3-x equation:


Simplifying
2.5(x + -4) + -6x = 3 + -1x

Reorder the terms:
2.5(-4 + x) + -6x = 3 + -1x
(-4 * 2.5 + x * 2.5) + -6x = 3 + -1x
(-10 + 2.5x) + -6x = 3 + -1x

Combine like terms: 2.5x + -6x = -3.5x
-10 + -3.5x = 3 + -1x

Solving
-10 + -3.5x = 3 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-10 + -3.5x + x = 3 + -1x + x

Combine like terms: -3.5x + x = -2.5x
-10 + -2.5x = 3 + -1x + x

Combine like terms: -1x + x = 0
-10 + -2.5x = 3 + 0
-10 + -2.5x = 3

Add '10' to each side of the equation.
-10 + 10 + -2.5x = 3 + 10

Combine like terms: -10 + 10 = 0
0 + -2.5x = 3 + 10
-2.5x = 3 + 10

Combine like terms: 3 + 10 = 13
-2.5x = 13

Divide each side by '-2.5'.
x = -5.2

Simplifying
x = -5.2

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