0.3(x-5)=0.4-0.2(x-7)

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Solution for 0.3(x-5)=0.4-0.2(x-7) equation: 


Simplifying
0.3(x + -5) = 0.4 + -0.2(x + -7)

Reorder the terms:
0.3(-5 + x) = 0.4 + -0.2(x + -7)
(-5 * 0.3 + x * 0.3) = 0.4 + -0.2(x + -7)
(-1.5 + 0.3x) = 0.4 + -0.2(x + -7)

Reorder the terms:
-1.5 + 0.3x = 0.4 + -0.2(-7 + x)
-1.5 + 0.3x = 0.4 + (-7 * -0.2 + x * -0.2)
-1.5 + 0.3x = 0.4 + (1.4 + -0.2x)

Combine like terms: 0.4 + 1.4 = 1.8
-1.5 + 0.3x = 1.8 + -0.2x

Solving
-1.5 + 0.3x = 1.8 + -0.2x

Solving for variable 'x'.

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

Add '0.2x' to each side of the equation.
-1.5 + 0.3x + 0.2x = 1.8 + -0.2x + 0.2x

Combine like terms: 0.3x + 0.2x = 0.5x
-1.5 + 0.5x = 1.8 + -0.2x + 0.2x

Combine like terms: -0.2x + 0.2x = 0.0
-1.5 + 0.5x = 1.8 + 0.0
-1.5 + 0.5x = 1.8

Add '1.5' to each side of the equation.
-1.5 + 1.5 + 0.5x = 1.8 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + 0.5x = 1.8 + 1.5
0.5x = 1.8 + 1.5

Combine like terms: 1.8 + 1.5 = 3.3
0.5x = 3.3

Divide each side by '0.5'.
x = 6.6

Simplifying
x = 6.6

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