2.5x-(9-3x)=5x+(-4)

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Solution for 2.5x-(9-3x)=5x+(-4) equation:


Simplifying
2.5x + -1(9 + -3x) = 5x + (-4)
2.5x + (9 * -1 + -3x * -1) = 5x + (-4)
2.5x + (-9 + 3x) = 5x + (-4)

Reorder the terms:
-9 + 2.5x + 3x = 5x + (-4)

Combine like terms: 2.5x + 3x = 5.5x
-9 + 5.5x = 5x + (-4)
-9 + 5.5x = 5x + -4

Reorder the terms:
-9 + 5.5x = -4 + 5x

Solving
-9 + 5.5x = -4 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-9 + 5.5x + -5x = -4 + 5x + -5x

Combine like terms: 5.5x + -5x = 0.5x
-9 + 0.5x = -4 + 5x + -5x

Combine like terms: 5x + -5x = 0
-9 + 0.5x = -4 + 0
-9 + 0.5x = -4

Add '9' to each side of the equation.
-9 + 9 + 0.5x = -4 + 9

Combine like terms: -9 + 9 = 0
0 + 0.5x = -4 + 9
0.5x = -4 + 9

Combine like terms: -4 + 9 = 5
0.5x = 5

Divide each side by '0.5'.
x = 10

Simplifying
x = 10

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