1x+61.2=.96(75+x)

Solution for 1x+61.2=.96(75+x) equation:

Simplifying
1x + 61.2 = 0.96(75 + x)

Reorder the terms:
61.2 + 1x = 0.96(75 + x)
61.2 + 1x = (75 * 0.96 + x * 0.96)
61.2 + 1x = (72 + 0.96x)

Solving
61.2 + 1x = 72 + 0.96x

Solving for variable 'x'.

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

Add '-0.96x' to each side of the equation.
61.2 + 1x + -0.96x = 72 + 0.96x + -0.96x

Combine like terms: 1x + -0.96x = 0.04x
61.2 + 0.04x = 72 + 0.96x + -0.96x

Combine like terms: 0.96x + -0.96x = 0.00
61.2 + 0.04x = 72 + 0.00
61.2 + 0.04x = 72

Add '-61.2' to each side of the equation.
61.2 + -61.2 + 0.04x = 72 + -61.2

Combine like terms: 61.2 + -61.2 = 0.0
0.0 + 0.04x = 72 + -61.2
0.04x = 72 + -61.2

Combine like terms: 72 + -61.2 = 10.8
0.04x = 10.8

Divide each side by '0.04'.
x = 270

Simplifying
x = 270