0.80(x+5)=1.5(x-2)

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Solution for 0.80(x+5)=1.5(x-2) equation: 


Simplifying
0.80(x + 5) = 1.5(x + -2)

Reorder the terms:
0.80(5 + x) = 1.5(x + -2)
(5 * 0.80 + x * 0.80) = 1.5(x + -2)
(4 + 0.80x) = 1.5(x + -2)

Reorder the terms:
4 + 0.80x = 1.5(-2 + x)
4 + 0.80x = (-2 * 1.5 + x * 1.5)
4 + 0.80x = (-3 + 1.5x)

Solving
4 + 0.80x = -3 + 1.5x

Solving for variable 'x'.

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

Add '-1.5x' to each side of the equation.
4 + 0.80x + -1.5x = -3 + 1.5x + -1.5x

Combine like terms: 0.80x + -1.5x = -0.7x
4 + -0.7x = -3 + 1.5x + -1.5x

Combine like terms: 1.5x + -1.5x = 0.0
4 + -0.7x = -3 + 0.0
4 + -0.7x = -3

Add '-4' to each side of the equation.
4 + -4 + -0.7x = -3 + -4

Combine like terms: 4 + -4 = 0
0 + -0.7x = -3 + -4
-0.7x = -3 + -4

Combine like terms: -3 + -4 = -7
-0.7x = -7

Divide each side by '-0.7'.
x = 10

Simplifying
x = 10

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