1.25+.55(x-1)=5.10

Solution for 1.25+.55(x-1)=5.10 equation:

Simplifying
1.25 + 0.55(x + -1) = 5.10

Reorder the terms:
1.25 + 0.55(-1 + x) = 5.10
1.25 + (-1 * 0.55 + x * 0.55) = 5.10
1.25 + (-0.55 + 0.55x) = 5.10

Combine like terms: 1.25 + -0.55 = 0.7
0.7 + 0.55x = 5.10

Solving
0.7 + 0.55x = 5.10

Solving for variable 'x'.

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

Add '-0.7' to each side of the equation.
0.7 + -0.7 + 0.55x = 5.10 + -0.7

Combine like terms: 0.7 + -0.7 = 0.0
0.0 + 0.55x = 5.10 + -0.7
0.55x = 5.10 + -0.7

Combine like terms: 5.10 + -0.7 = 4.4
0.55x = 4.4

Divide each side by '0.55'.
x = 8

Simplifying
x = 8