2.5(x+2)=3x-4(3-x)-8

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Solution for 2.5(x+2)=3x-4(3-x)-8 equation:


Simplifying
2.5(x + 2) = 3x + -4(3 + -1x) + -8

Reorder the terms:
2.5(2 + x) = 3x + -4(3 + -1x) + -8
(2 * 2.5 + x * 2.5) = 3x + -4(3 + -1x) + -8
(5 + 2.5x) = 3x + -4(3 + -1x) + -8
5 + 2.5x = 3x + (3 * -4 + -1x * -4) + -8
5 + 2.5x = 3x + (-12 + 4x) + -8

Reorder the terms:
5 + 2.5x = -12 + -8 + 3x + 4x

Combine like terms: -12 + -8 = -20
5 + 2.5x = -20 + 3x + 4x

Combine like terms: 3x + 4x = 7x
5 + 2.5x = -20 + 7x

Solving
5 + 2.5x = -20 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
5 + 2.5x + -7x = -20 + 7x + -7x

Combine like terms: 2.5x + -7x = -4.5x
5 + -4.5x = -20 + 7x + -7x

Combine like terms: 7x + -7x = 0
5 + -4.5x = -20 + 0
5 + -4.5x = -20

Add '-5' to each side of the equation.
5 + -5 + -4.5x = -20 + -5

Combine like terms: 5 + -5 = 0
0 + -4.5x = -20 + -5
-4.5x = -20 + -5

Combine like terms: -20 + -5 = -25
-4.5x = -25

Divide each side by '-4.5'.
x = 5.555555556

Simplifying
x = 5.555555556

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