1.5(3x+7)+1=2(10-X)

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Solution for 1.5(3x+7)+1=2(10-X) equation: 


Simplifying
1.5(3x + 7) + 1 = 2(10 + -1X)

Reorder the terms:
1.5(7 + 3x) + 1 = 2(10 + -1X)
(7 * 1.5 + 3x * 1.5) + 1 = 2(10 + -1X)
(10.5 + 4.5x) + 1 = 2(10 + -1X)

Reorder the terms:
10.5 + 1 + 4.5x = 2(10 + -1X)

Combine like terms: 10.5 + 1 = 11.5
11.5 + 4.5x = 2(10 + -1X)
11.5 + 4.5x = (10 * 2 + -1X * 2)
11.5 + 4.5x = (20 + -2X)

Solving
11.5 + 4.5x = 20 + -2X

Solving for variable 'x'.

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

Add '-11.5' to each side of the equation.
11.5 + -11.5 + 4.5x = 20 + -11.5 + -2X

Combine like terms: 11.5 + -11.5 = 0.0
0.0 + 4.5x = 20 + -11.5 + -2X
4.5x = 20 + -11.5 + -2X

Combine like terms: 20 + -11.5 = 8.5
4.5x = 8.5 + -2X

Divide each side by '4.5'.
x = 1.888888889 + -0.4444444444X

Simplifying
x = 1.888888889 + -0.4444444444X

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