0.3x-0.75(5-2x)=-0.4(x-7)

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Solution for 0.3x-0.75(5-2x)=-0.4(x-7) equation: 


Simplifying
0.3x + -0.75(5 + -2x) = -0.4(x + -7)
0.3x + (5 * -0.75 + -2x * -0.75) = -0.4(x + -7)
0.3x + (-3.75 + 1.5x) = -0.4(x + -7)

Reorder the terms:
-3.75 + 0.3x + 1.5x = -0.4(x + -7)

Combine like terms: 0.3x + 1.5x = 1.8x
-3.75 + 1.8x = -0.4(x + -7)

Reorder the terms:
-3.75 + 1.8x = -0.4(-7 + x)
-3.75 + 1.8x = (-7 * -0.4 + x * -0.4)
-3.75 + 1.8x = (2.8 + -0.4x)

Solving
-3.75 + 1.8x = 2.8 + -0.4x

Solving for variable 'x'.

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

Add '0.4x' to each side of the equation.
-3.75 + 1.8x + 0.4x = 2.8 + -0.4x + 0.4x

Combine like terms: 1.8x + 0.4x = 2.2x
-3.75 + 2.2x = 2.8 + -0.4x + 0.4x

Combine like terms: -0.4x + 0.4x = 0.0
-3.75 + 2.2x = 2.8 + 0.0
-3.75 + 2.2x = 2.8

Add '3.75' to each side of the equation.
-3.75 + 3.75 + 2.2x = 2.8 + 3.75

Combine like terms: -3.75 + 3.75 = 0.00
0.00 + 2.2x = 2.8 + 3.75
2.2x = 2.8 + 3.75

Combine like terms: 2.8 + 3.75 = 6.55
2.2x = 6.55

Divide each side by '2.2'.
x = 2.977272727

Simplifying
x = 2.977272727

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