1.8(x-5)=0.2(x-13)

Solution for 1.8(x-5)=0.2(x-13) equation:

Simplifying
1.8(x + -5) = 0.2(x + -13)

Reorder the terms:
1.8(-5 + x) = 0.2(x + -13)
(-5 * 1.8 + x * 1.8) = 0.2(x + -13)
(-9 + 1.8x) = 0.2(x + -13)

Reorder the terms:
-9 + 1.8x = 0.2(-13 + x)
-9 + 1.8x = (-13 * 0.2 + x * 0.2)
-9 + 1.8x = (-2.6 + 0.2x)

Solving
-9 + 1.8x = -2.6 + 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.
-9 + 1.8x + -0.2x = -2.6 + 0.2x + -0.2x

Combine like terms: 1.8x + -0.2x = 1.6x
-9 + 1.6x = -2.6 + 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
-9 + 1.6x = -2.6 + 0.0
-9 + 1.6x = -2.6

Add '9' to each side of the equation.
-9 + 9 + 1.6x = -2.6 + 9

Combine like terms: -9 + 9 = 0
0 + 1.6x = -2.6 + 9
1.6x = -2.6 + 9

Combine like terms: -2.6 + 9 = 6.4
1.6x = 6.4

Divide each side by '1.6'.
x = 4

Simplifying
x = 4