.4x+10+.6x=2x+5

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Solution for .4x+10+.6x=2x+5 equation:


Simplifying
0.4x + 10 + 0.6x = 2x + 5

Reorder the terms:
10 + 0.4x + 0.6x = 2x + 5

Combine like terms: 0.4x + 0.6x = 1x
10 + 1x = 2x + 5

Reorder the terms:
10 + 1x = 5 + 2x

Solving
10 + 1x = 5 + 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.
10 + 1x + -2x = 5 + 2x + -2x

Combine like terms: 1x + -2x = -1x
10 + -1x = 5 + 2x + -2x

Combine like terms: 2x + -2x = 0
10 + -1x = 5 + 0
10 + -1x = 5

Add '-10' to each side of the equation.
10 + -10 + -1x = 5 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 5 + -10
-1x = 5 + -10

Combine like terms: 5 + -10 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5

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