1.5(x+8)=3.2+0.7x

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Solution for 1.5(x+8)=3.2+0.7x equation:


Simplifying
1.5(x + 8) = 3.2 + 0.7x

Reorder the terms:
1.5(8 + x) = 3.2 + 0.7x
(8 * 1.5 + x * 1.5) = 3.2 + 0.7x
(12 + 1.5x) = 3.2 + 0.7x

Solving
12 + 1.5x = 3.2 + 0.7x

Solving for variable 'x'.

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

Add '-0.7x' to each side of the equation.
12 + 1.5x + -0.7x = 3.2 + 0.7x + -0.7x

Combine like terms: 1.5x + -0.7x = 0.8x
12 + 0.8x = 3.2 + 0.7x + -0.7x

Combine like terms: 0.7x + -0.7x = 0.0
12 + 0.8x = 3.2 + 0.0
12 + 0.8x = 3.2

Add '-12' to each side of the equation.
12 + -12 + 0.8x = 3.2 + -12

Combine like terms: 12 + -12 = 0
0 + 0.8x = 3.2 + -12
0.8x = 3.2 + -12

Combine like terms: 3.2 + -12 = -8.8
0.8x = -8.8

Divide each side by '0.8'.
x = -11

Simplifying
x = -11

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