0.5(x+2)-0.7(x+2)=0.2x-0.4

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Solution for 0.5(x+2)-0.7(x+2)=0.2x-0.4 equation:


Simplifying
0.5(x + 2) + -0.7(x + 2) = 0.2x + -0.4

Reorder the terms:
0.5(2 + x) + -0.7(x + 2) = 0.2x + -0.4
(2 * 0.5 + x * 0.5) + -0.7(x + 2) = 0.2x + -0.4
(1 + 0.5x) + -0.7(x + 2) = 0.2x + -0.4

Reorder the terms:
1 + 0.5x + -0.7(2 + x) = 0.2x + -0.4
1 + 0.5x + (2 * -0.7 + x * -0.7) = 0.2x + -0.4
1 + 0.5x + (-1.4 + -0.7x) = 0.2x + -0.4

Reorder the terms:
1 + -1.4 + 0.5x + -0.7x = 0.2x + -0.4

Combine like terms: 1 + -1.4 = -0.4
-0.4 + 0.5x + -0.7x = 0.2x + -0.4

Combine like terms: 0.5x + -0.7x = -0.2x
-0.4 + -0.2x = 0.2x + -0.4

Reorder the terms:
-0.4 + -0.2x = -0.4 + 0.2x

Add '0.4' to each side of the equation.
-0.4 + 0.4 + -0.2x = -0.4 + 0.4 + 0.2x

Combine like terms: -0.4 + 0.4 = 0.0
0.0 + -0.2x = -0.4 + 0.4 + 0.2x
-0.2x = -0.4 + 0.4 + 0.2x

Combine like terms: -0.4 + 0.4 = 0.0
-0.2x = 0.0 + 0.2x
-0.2x = 0.2x

Solving
-0.2x = 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.
-0.2x + -0.2x = 0.2x + -0.2x

Combine like terms: -0.2x + -0.2x = -0.4x
-0.4x = 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
-0.4x = 0.0

Divide each side by '-0.4'.
x = 0

Simplifying
x = 0

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