1.5x-0.7=0.4(3-5x)

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Solution for 1.5x-0.7=0.4(3-5x) equation: 


Simplifying
1.5x + -0.7 = 0.4(3 + -5x)

Reorder the terms:
-0.7 + 1.5x = 0.4(3 + -5x)
-0.7 + 1.5x = (3 * 0.4 + -5x * 0.4)
-0.7 + 1.5x = (1.2 + -2x)

Solving
-0.7 + 1.5x = 1.2 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-0.7 + 1.5x + 2x = 1.2 + -2x + 2x

Combine like terms: 1.5x + 2x = 3.5x
-0.7 + 3.5x = 1.2 + -2x + 2x

Combine like terms: -2x + 2x = 0
-0.7 + 3.5x = 1.2 + 0
-0.7 + 3.5x = 1.2

Add '0.7' to each side of the equation.
-0.7 + 0.7 + 3.5x = 1.2 + 0.7

Combine like terms: -0.7 + 0.7 = 0.0
0.0 + 3.5x = 1.2 + 0.7
3.5x = 1.2 + 0.7

Combine like terms: 1.2 + 0.7 = 1.9
3.5x = 1.9

Divide each side by '3.5'.
x = 0.5428571429

Simplifying
x = 0.5428571429

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