1.2(c+10)=2.6(c-5)+18

Solution for 1.2(c+10)=2.6(c-5)+18 equation:

Simplifying
1.2(c + 10) = 2.6(c + -5) + 18

Reorder the terms:
1.2(10 + c) = 2.6(c + -5) + 18
(10 * 1.2 + c * 1.2) = 2.6(c + -5) + 18
(12 + 1.2c) = 2.6(c + -5) + 18

Reorder the terms:
12 + 1.2c = 2.6(-5 + c) + 18
12 + 1.2c = (-5 * 2.6 + c * 2.6) + 18
12 + 1.2c = (-13 + 2.6c) + 18

Reorder the terms:
12 + 1.2c = -13 + 18 + 2.6c

Combine like terms: -13 + 18 = 5
12 + 1.2c = 5 + 2.6c

Solving
12 + 1.2c = 5 + 2.6c

Solving for variable 'c'.

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

Add '-2.6c' to each side of the equation.
12 + 1.2c + -2.6c = 5 + 2.6c + -2.6c

Combine like terms: 1.2c + -2.6c = -1.4c
12 + -1.4c = 5 + 2.6c + -2.6c

Combine like terms: 2.6c + -2.6c = 0.0
12 + -1.4c = 5 + 0.0
12 + -1.4c = 5

Add '-12' to each side of the equation.
12 + -12 + -1.4c = 5 + -12

Combine like terms: 12 + -12 = 0
0 + -1.4c = 5 + -12
-1.4c = 5 + -12

Combine like terms: 5 + -12 = -7
-1.4c = -7

Divide each side by '-1.4'.
c = 5

Simplifying
c = 5