What is x if 3.2+0.3x=0.2x+1.4?
First arrange the equation so like terms are on the same side by subtracting 3.2 from both sides and 0.2x from both sides:
0.1x = -1.8
Then divide both sides by 0.1 to get x by itself:
x = -18
x equals -18
Simplifying 3.2 + 0.3x = 0.2x + 1.4
Reorder the terms:
3.2 + 0.3x = 1.4 + 0.2x
Solving
3.2 + 0.3x = 1.4 + 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.
3.2 + 0.3x + -0.2x = 1.4 + 0.2x + -0.2x
Combine like terms: 0.3x + -0.2x = 0.1x
3.2 + 0.1x = 1.4 + 0.2x + -0.2x
Combine like terms: 0.2x + -0.2x = 0.0
3.2 + 0.1x = 1.4 + 0.0
3.2 + 0.1x = 1.4
Add '-3.2' to each side of the equation.
3.2 + -3.2 + 0.1x = 1.4 + -3.2
Combine like terms: 3.2 + -3.2 = 0.0
0.0 + 0.1x = 1.4 + -3.2
0.1x = 1.4 + -3.2
Combine like terms: 1.4 + -3.2 = -1.8
0.1x = -1.8
Divide each side by '0.1'.
x = -18
Simplifying
x = -18