0.4(2x-5)=3-(x+7)

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Solution for 0.4(2x-5)=3-(x+7) equation:


Simplifying
0.4(2x + -5) = 3 + -1(x + 7)

Reorder the terms:
0.4(-5 + 2x) = 3 + -1(x + 7)
(-5 * 0.4 + 2x * 0.4) = 3 + -1(x + 7)
(-2 + 0.8x) = 3 + -1(x + 7)

Reorder the terms:
-2 + 0.8x = 3 + -1(7 + x)
-2 + 0.8x = 3 + (7 * -1 + x * -1)
-2 + 0.8x = 3 + (-7 + -1x)

Combine like terms: 3 + -7 = -4
-2 + 0.8x = -4 + -1x

Solving
-2 + 0.8x = -4 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-2 + 0.8x + x = -4 + -1x + x

Combine like terms: 0.8x + x = 1.8x
-2 + 1.8x = -4 + -1x + x

Combine like terms: -1x + x = 0
-2 + 1.8x = -4 + 0
-2 + 1.8x = -4

Add '2' to each side of the equation.
-2 + 2 + 1.8x = -4 + 2

Combine like terms: -2 + 2 = 0
0 + 1.8x = -4 + 2
1.8x = -4 + 2

Combine like terms: -4 + 2 = -2
1.8x = -2

Divide each side by '1.8'.
x = -1.111111111

Simplifying
x = -1.111111111

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