0.4x+0.2(10)=0.3(x+10)

Solution for 0.4x+0.2(10)=0.3(x+10) equation:

Simplifying
0.4x + 0.2(10) = 0.3(x + 10)

Multiply 0.2 * 10
0.4x + 2 = 0.3(x + 10)

Reorder the terms:
2 + 0.4x = 0.3(x + 10)

Reorder the terms:
2 + 0.4x = 0.3(10 + x)
2 + 0.4x = (10 * 0.3 + x * 0.3)
2 + 0.4x = (3 + 0.3x)

Solving
2 + 0.4x = 3 + 0.3x

Solving for variable 'x'.

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

Add '-0.3x' to each side of the equation.
2 + 0.4x + -0.3x = 3 + 0.3x + -0.3x

Combine like terms: 0.4x + -0.3x = 0.1x
2 + 0.1x = 3 + 0.3x + -0.3x

Combine like terms: 0.3x + -0.3x = 0.0
2 + 0.1x = 3 + 0.0
2 + 0.1x = 3

Add '-2' to each side of the equation.
2 + -2 + 0.1x = 3 + -2

Combine like terms: 2 + -2 = 0
0 + 0.1x = 3 + -2
0.1x = 3 + -2

Combine like terms: 3 + -2 = 1
0.1x = 1

Divide each side by '0.1'.
x = 10

Simplifying
x = 10