11(x+6)=7x-3

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Solution for 11(x+6)=7x-3 equation:


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

Reorder the terms:
11(6 + x) = 7x + -3
(6 * 11 + x * 11) = 7x + -3
(66 + 11x) = 7x + -3

Reorder the terms:
66 + 11x = -3 + 7x

Solving
66 + 11x = -3 + 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 = -3 + 7x + -7x

Combine like terms: 11x + -7x = 4x
66 + 4x = -3 + 7x + -7x

Combine like terms: 7x + -7x = 0
66 + 4x = -3 + 0
66 + 4x = -3

Add '-66' to each side of the equation.
66 + -66 + 4x = -3 + -66

Combine like terms: 66 + -66 = 0
0 + 4x = -3 + -66
4x = -3 + -66

Combine like terms: -3 + -66 = -69
4x = -69

Divide each side by '4'.
x = -17.25

Simplifying
x = -17.25

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