0.12x+0.9(x-3)=0.01(2x-3)

Solution for 0.12x+0.9(x-3)=0.01(2x-3) equation:

Simplifying
0.12x + 0.9(x + -3) = 0.01(2x + -3)

Reorder the terms:
0.12x + 0.9(-3 + x) = 0.01(2x + -3)
0.12x + (-3 * 0.9 + x * 0.9) = 0.01(2x + -3)
0.12x + (-2.7 + 0.9x) = 0.01(2x + -3)

Reorder the terms:
-2.7 + 0.12x + 0.9x = 0.01(2x + -3)

Combine like terms: 0.12x + 0.9x = 1.02x
-2.7 + 1.02x = 0.01(2x + -3)

Reorder the terms:
-2.7 + 1.02x = 0.01(-3 + 2x)
-2.7 + 1.02x = (-3 * 0.01 + 2x * 0.01)
-2.7 + 1.02x = (-0.03 + 0.02x)

Solving
-2.7 + 1.02x = -0.03 + 0.02x

Solving for variable 'x'.

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

Add '-0.02x' to each side of the equation.
-2.7 + 1.02x + -0.02x = -0.03 + 0.02x + -0.02x

Combine like terms: 1.02x + -0.02x = 1x
-2.7 + 1x = -0.03 + 0.02x + -0.02x

Combine like terms: 0.02x + -0.02x = 0.00
-2.7 + 1x = -0.03 + 0.00
-2.7 + 1x = -0.03

Add '2.7' to each side of the equation.
-2.7 + 2.7 + 1x = -0.03 + 2.7

Combine like terms: -2.7 + 2.7 = 0.0
0.0 + 1x = -0.03 + 2.7
1x = -0.03 + 2.7

Combine like terms: -0.03 + 2.7 = 2.67
1x = 2.67

Divide each side by '1'.
x = 2.67

Simplifying
x = 2.67