0.5(x+4)=0.7(x+2)

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Solution for 0.5(x+4)=0.7(x+2) equation: 


Simplifying
0.5(x + 4) = 0.7(x + 2)

Reorder the terms:
0.5(4 + x) = 0.7(x + 2)
(4 * 0.5 + x * 0.5) = 0.7(x + 2)
(2 + 0.5x) = 0.7(x + 2)

Reorder the terms:
2 + 0.5x = 0.7(2 + x)
2 + 0.5x = (2 * 0.7 + x * 0.7)
2 + 0.5x = (1.4 + 0.7x)

Solving
2 + 0.5x = 1.4 + 0.7x

Solving for variable 'x'.

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

Add '-0.7x' to each side of the equation.
2 + 0.5x + -0.7x = 1.4 + 0.7x + -0.7x

Combine like terms: 0.5x + -0.7x = -0.2x
2 + -0.2x = 1.4 + 0.7x + -0.7x

Combine like terms: 0.7x + -0.7x = 0.0
2 + -0.2x = 1.4 + 0.0
2 + -0.2x = 1.4

Add '-2' to each side of the equation.
2 + -2 + -0.2x = 1.4 + -2

Combine like terms: 2 + -2 = 0
0 + -0.2x = 1.4 + -2
-0.2x = 1.4 + -2

Combine like terms: 1.4 + -2 = -0.6
-0.2x = -0.6

Divide each side by '-0.2'.
x = 3

Simplifying
x = 3

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