4(3+x)+10=11(x-6)1

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Solution for 4(3+x)+10=11(x-6)1 equation: 


Simplifying
4(3 + x) + 10 = 11(x + -6) * 1
(3 * 4 + x * 4) + 10 = 11(x + -6) * 1
(12 + 4x) + 10 = 11(x + -6) * 1

Reorder the terms:
12 + 10 + 4x = 11(x + -6) * 1

Combine like terms: 12 + 10 = 22
22 + 4x = 11(x + -6) * 1

Reorder the terms:
22 + 4x = 11(-6 + x) * 1

Reorder the terms for easier multiplication:
22 + 4x = 11 * 1(-6 + x)

Multiply 11 * 1
22 + 4x = 11(-6 + x)
22 + 4x = (-6 * 11 + x * 11)
22 + 4x = (-66 + 11x)

Solving
22 + 4x = -66 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
22 + 4x + -11x = -66 + 11x + -11x

Combine like terms: 4x + -11x = -7x
22 + -7x = -66 + 11x + -11x

Combine like terms: 11x + -11x = 0
22 + -7x = -66 + 0
22 + -7x = -66

Add '-22' to each side of the equation.
22 + -22 + -7x = -66 + -22

Combine like terms: 22 + -22 = 0
0 + -7x = -66 + -22
-7x = -66 + -22

Combine like terms: -66 + -22 = -88
-7x = -88

Divide each side by '-7'.
x = 12.57142857

Simplifying
x = 12.57142857

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