7(15)=6(x+6)

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Solution for 7(15)=6(x+6) equation:


Simplifying
7(15) = 6(x + 6)

Multiply 7 * 15
105 = 6(x + 6)

Reorder the terms:
105 = 6(6 + x)
105 = (6 * 6 + x * 6)
105 = (36 + 6x)

Solving
105 = 36 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
105 + -6x = 36 + 6x + -6x

Combine like terms: 6x + -6x = 0
105 + -6x = 36 + 0
105 + -6x = 36

Add '-105' to each side of the equation.
105 + -105 + -6x = 36 + -105

Combine like terms: 105 + -105 = 0
0 + -6x = 36 + -105
-6x = 36 + -105

Combine like terms: 36 + -105 = -69
-6x = -69

Divide each side by '-6'.
x = 11.5

Simplifying
x = 11.5

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