2.5(4-x)=3(1.5x+2)+2

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Solution for 2.5(4-x)=3(1.5x+2)+2 equation: 


Simplifying
2.5(4 + -1x) = 3(1.5x + 2) + 2
(4 * 2.5 + -1x * 2.5) = 3(1.5x + 2) + 2
(10 + -2.5x) = 3(1.5x + 2) + 2

Reorder the terms:
10 + -2.5x = 3(2 + 1.5x) + 2
10 + -2.5x = (2 * 3 + 1.5x * 3) + 2
10 + -2.5x = (6 + 4.5x) + 2

Reorder the terms:
10 + -2.5x = 6 + 2 + 4.5x

Combine like terms: 6 + 2 = 8
10 + -2.5x = 8 + 4.5x

Solving
10 + -2.5x = 8 + 4.5x

Solving for variable 'x'.

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

Add '-4.5x' to each side of the equation.
10 + -2.5x + -4.5x = 8 + 4.5x + -4.5x

Combine like terms: -2.5x + -4.5x = -7x
10 + -7x = 8 + 4.5x + -4.5x

Combine like terms: 4.5x + -4.5x = 0.0
10 + -7x = 8 + 0.0
10 + -7x = 8

Add '-10' to each side of the equation.
10 + -10 + -7x = 8 + -10

Combine like terms: 10 + -10 = 0
0 + -7x = 8 + -10
-7x = 8 + -10

Combine like terms: 8 + -10 = -2
-7x = -2

Divide each side by '-7'.
x = 0.2857142857

Simplifying
x = 0.2857142857

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