0.4(x-0.3)=1.25(7-4x)

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Solution for 0.4(x-0.3)=1.25(7-4x) equation: 


Simplifying
0.4(x + -0.3) = 1.25(7 + -4x)

Reorder the terms:
0.4(-0.3 + x) = 1.25(7 + -4x)
(-0.3 * 0.4 + x * 0.4) = 1.25(7 + -4x)
(-0.12 + 0.4x) = 1.25(7 + -4x)
-0.12 + 0.4x = (7 * 1.25 + -4x * 1.25)
-0.12 + 0.4x = (8.75 + -5x)

Solving
-0.12 + 0.4x = 8.75 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-0.12 + 0.4x + 5x = 8.75 + -5x + 5x

Combine like terms: 0.4x + 5x = 5.4x
-0.12 + 5.4x = 8.75 + -5x + 5x

Combine like terms: -5x + 5x = 0
-0.12 + 5.4x = 8.75 + 0
-0.12 + 5.4x = 8.75

Add '0.12' to each side of the equation.
-0.12 + 0.12 + 5.4x = 8.75 + 0.12

Combine like terms: -0.12 + 0.12 = 0.00
0.00 + 5.4x = 8.75 + 0.12
5.4x = 8.75 + 0.12

Combine like terms: 8.75 + 0.12 = 8.87
5.4x = 8.87

Divide each side by '5.4'.
x = 1.642592593

Simplifying
x = 1.642592593

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