1.5(5x+1)=2(2-2x)+9

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Solution for 1.5(5x+1)=2(2-2x)+9 equation: 


Simplifying
1.5(5x + 1) = 2(2 + -2x) + 9

Reorder the terms:
1.5(1 + 5x) = 2(2 + -2x) + 9
(1 * 1.5 + 5x * 1.5) = 2(2 + -2x) + 9
(1.5 + 7.5x) = 2(2 + -2x) + 9
1.5 + 7.5x = (2 * 2 + -2x * 2) + 9
1.5 + 7.5x = (4 + -4x) + 9

Reorder the terms:
1.5 + 7.5x = 4 + 9 + -4x

Combine like terms: 4 + 9 = 13
1.5 + 7.5x = 13 + -4x

Solving
1.5 + 7.5x = 13 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
1.5 + 7.5x + 4x = 13 + -4x + 4x

Combine like terms: 7.5x + 4x = 11.5x
1.5 + 11.5x = 13 + -4x + 4x

Combine like terms: -4x + 4x = 0
1.5 + 11.5x = 13 + 0
1.5 + 11.5x = 13

Add '-1.5' to each side of the equation.
1.5 + -1.5 + 11.5x = 13 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + 11.5x = 13 + -1.5
11.5x = 13 + -1.5

Combine like terms: 13 + -1.5 = 11.5
11.5x = 11.5

Divide each side by '11.5'.
x = 1

Simplifying
x = 1

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