1.5(5x+1)=4(4-3x)+5

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Solution for 1.5(5x+1)=4(4-3x)+5 equation: 


Simplifying
1.5(5x + 1) = 4(4 + -3x) + 5

Reorder the terms:
1.5(1 + 5x) = 4(4 + -3x) + 5
(1 * 1.5 + 5x * 1.5) = 4(4 + -3x) + 5
(1.5 + 7.5x) = 4(4 + -3x) + 5
1.5 + 7.5x = (4 * 4 + -3x * 4) + 5
1.5 + 7.5x = (16 + -12x) + 5

Reorder the terms:
1.5 + 7.5x = 16 + 5 + -12x

Combine like terms: 16 + 5 = 21
1.5 + 7.5x = 21 + -12x

Solving
1.5 + 7.5x = 21 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
1.5 + 7.5x + 12x = 21 + -12x + 12x

Combine like terms: 7.5x + 12x = 19.5x
1.5 + 19.5x = 21 + -12x + 12x

Combine like terms: -12x + 12x = 0
1.5 + 19.5x = 21 + 0
1.5 + 19.5x = 21

Add '-1.5' to each side of the equation.
1.5 + -1.5 + 19.5x = 21 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + 19.5x = 21 + -1.5
19.5x = 21 + -1.5

Combine like terms: 21 + -1.5 = 19.5
19.5x = 19.5

Divide each side by '19.5'.
x = 1

Simplifying
x = 1

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