.2(5x-1)+2.25=2(3.5+x)

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Solution for .2(5x-1)+2.25=2(3.5+x) equation:


Simplifying
0.2(5x + -1) + 2.25 = 2(3.5 + x)

Reorder the terms:
0.2(-1 + 5x) + 2.25 = 2(3.5 + x)
(-1 * 0.2 + 5x * 0.2) + 2.25 = 2(3.5 + x)
(-0.2 + 1x) + 2.25 = 2(3.5 + x)

Reorder the terms:
-0.2 + 2.25 + 1x = 2(3.5 + x)

Combine like terms: -0.2 + 2.25 = 2.05
2.05 + 1x = 2(3.5 + x)
2.05 + 1x = (3.5 * 2 + x * 2)
2.05 + 1x = (7 + 2x)

Solving
2.05 + 1x = 7 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
2.05 + 1x + -2x = 7 + 2x + -2x

Combine like terms: 1x + -2x = -1x
2.05 + -1x = 7 + 2x + -2x

Combine like terms: 2x + -2x = 0
2.05 + -1x = 7 + 0
2.05 + -1x = 7

Add '-2.05' to each side of the equation.
2.05 + -2.05 + -1x = 7 + -2.05

Combine like terms: 2.05 + -2.05 = 0.00
0.00 + -1x = 7 + -2.05
-1x = 7 + -2.05

Combine like terms: 7 + -2.05 = 4.95
-1x = 4.95

Divide each side by '-1'.
x = -4.95

Simplifying
x = -4.95

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