8(x+6)+3(x+6)=7x-7

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Solution for 8(x+6)+3(x+6)=7x-7 equation: 


Simplifying
8(x + 6) + 3(x + 6) = 7x + -7

Reorder the terms:
8(6 + x) + 3(x + 6) = 7x + -7
(6 * 8 + x * 8) + 3(x + 6) = 7x + -7
(48 + 8x) + 3(x + 6) = 7x + -7

Reorder the terms:
48 + 8x + 3(6 + x) = 7x + -7
48 + 8x + (6 * 3 + x * 3) = 7x + -7
48 + 8x + (18 + 3x) = 7x + -7

Reorder the terms:
48 + 18 + 8x + 3x = 7x + -7

Combine like terms: 48 + 18 = 66
66 + 8x + 3x = 7x + -7

Combine like terms: 8x + 3x = 11x
66 + 11x = 7x + -7

Reorder the terms:
66 + 11x = -7 + 7x

Solving
66 + 11x = -7 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
66 + 11x + -7x = -7 + 7x + -7x

Combine like terms: 11x + -7x = 4x
66 + 4x = -7 + 7x + -7x

Combine like terms: 7x + -7x = 0
66 + 4x = -7 + 0
66 + 4x = -7

Add '-66' to each side of the equation.
66 + -66 + 4x = -7 + -66

Combine like terms: 66 + -66 = 0
0 + 4x = -7 + -66
4x = -7 + -66

Combine like terms: -7 + -66 = -73
4x = -73

Divide each side by '4'.
x = -18.25

Simplifying
x = -18.25

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