.3(x-7)+x=.5(3-x)

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


Simplifying
0.3(x + -7) + x = 0.5(3 + -1x)

Reorder the terms:
0.3(-7 + x) + x = 0.5(3 + -1x)
(-7 * 0.3 + x * 0.3) + x = 0.5(3 + -1x)
(-2.1 + 0.3x) + x = 0.5(3 + -1x)

Combine like terms: 0.3x + x = 1.3x
-2.1 + 1.3x = 0.5(3 + -1x)
-2.1 + 1.3x = (3 * 0.5 + -1x * 0.5)
-2.1 + 1.3x = (1.5 + -0.5x)

Solving
-2.1 + 1.3x = 1.5 + -0.5x

Solving for variable 'x'.

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

Add '0.5x' to each side of the equation.
-2.1 + 1.3x + 0.5x = 1.5 + -0.5x + 0.5x

Combine like terms: 1.3x + 0.5x = 1.8x
-2.1 + 1.8x = 1.5 + -0.5x + 0.5x

Combine like terms: -0.5x + 0.5x = 0.0
-2.1 + 1.8x = 1.5 + 0.0
-2.1 + 1.8x = 1.5

Add '2.1' to each side of the equation.
-2.1 + 2.1 + 1.8x = 1.5 + 2.1

Combine like terms: -2.1 + 2.1 = 0.0
0.0 + 1.8x = 1.5 + 2.1
1.8x = 1.5 + 2.1

Combine like terms: 1.5 + 2.1 = 3.6
1.8x = 3.6

Divide each side by '1.8'.
x = 2

Simplifying
x = 2

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