76=(2x+6)+(13x-2)

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Solution for 76=(2x+6)+(13x-2) equation:


Simplifying
76 = (2x + 6) + (13x + -2)

Reorder the terms:
76 = (6 + 2x) + (13x + -2)

Remove parenthesis around (6 + 2x)
76 = 6 + 2x + (13x + -2)

Reorder the terms:
76 = 6 + 2x + (-2 + 13x)

Remove parenthesis around (-2 + 13x)
76 = 6 + 2x + -2 + 13x

Reorder the terms:
76 = 6 + -2 + 2x + 13x

Combine like terms: 6 + -2 = 4
76 = 4 + 2x + 13x

Combine like terms: 2x + 13x = 15x
76 = 4 + 15x

Solving
76 = 4 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
76 + -15x = 4 + 15x + -15x

Combine like terms: 15x + -15x = 0
76 + -15x = 4 + 0
76 + -15x = 4

Add '-76' to each side of the equation.
76 + -76 + -15x = 4 + -76

Combine like terms: 76 + -76 = 0
0 + -15x = 4 + -76
-15x = 4 + -76

Combine like terms: 4 + -76 = -72
-15x = -72

Divide each side by '-15'.
x = 4.8

Simplifying
x = 4.8

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