1.22X+4(3.2-X)+3.1(2-X)=4-5X

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Solution for 1.22X+4(3.2-X)+3.1(2-X)=4-5X equation:


Simplifying
1.22X + 4(3.2 + -1X) + 3.1(2 + -1X) = 4 + -5X
1.22X + (3.2 * 4 + -1X * 4) + 3.1(2 + -1X) = 4 + -5X
1.22X + (12.8 + -4X) + 3.1(2 + -1X) = 4 + -5X
1.22X + 12.8 + -4X + (2 * 3.1 + -1X * 3.1) = 4 + -5X
1.22X + 12.8 + -4X + (6.2 + -3.1X) = 4 + -5X

Reorder the terms:
12.8 + 6.2 + 1.22X + -4X + -3.1X = 4 + -5X

Combine like terms: 12.8 + 6.2 = 19
19 + 1.22X + -4X + -3.1X = 4 + -5X

Combine like terms: 1.22X + -4X = -2.78X
19 + -2.78X + -3.1X = 4 + -5X

Combine like terms: -2.78X + -3.1X = -5.88X
19 + -5.88X = 4 + -5X

Solving
19 + -5.88X = 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.
19 + -5.88X + 5X = 4 + -5X + 5X

Combine like terms: -5.88X + 5X = -0.88X
19 + -0.88X = 4 + -5X + 5X

Combine like terms: -5X + 5X = 0
19 + -0.88X = 4 + 0
19 + -0.88X = 4

Add '-19' to each side of the equation.
19 + -19 + -0.88X = 4 + -19

Combine like terms: 19 + -19 = 0
0 + -0.88X = 4 + -19
-0.88X = 4 + -19

Combine like terms: 4 + -19 = -15
-0.88X = -15

Divide each side by '-0.88'.
X = 17.04545455

Simplifying
X = 17.04545455

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