7-(4+2)(x-3)=11(x+2)

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Solution for 7-(4+2)(x-3)=11(x+2) equation:


Simplifying
7 + -1(4 + 2)(x + -3) = 11(x + 2)

Combine like terms: 4 + 2 = 6
7 + -1(6)(x + -3) = 11(x + 2)

Reorder the terms:
7 + -1 * 6(-3 + x) = 11(x + 2)

Multiply -1 * 6
7 + -6(-3 + x) = 11(x + 2)
7 + (-3 * -6 + x * -6) = 11(x + 2)
7 + (18 + -6x) = 11(x + 2)

Combine like terms: 7 + 18 = 25
25 + -6x = 11(x + 2)

Reorder the terms:
25 + -6x = 11(2 + x)
25 + -6x = (2 * 11 + x * 11)
25 + -6x = (22 + 11x)

Solving
25 + -6x = 22 + 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.
25 + -6x + -11x = 22 + 11x + -11x

Combine like terms: -6x + -11x = -17x
25 + -17x = 22 + 11x + -11x

Combine like terms: 11x + -11x = 0
25 + -17x = 22 + 0
25 + -17x = 22

Add '-25' to each side of the equation.
25 + -25 + -17x = 22 + -25

Combine like terms: 25 + -25 = 0
0 + -17x = 22 + -25
-17x = 22 + -25

Combine like terms: 22 + -25 = -3
-17x = -3

Divide each side by '-17'.
x = 0.1764705882

Simplifying
x = 0.1764705882

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