11-45=4(x-2)-6

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Solution for 11-45=4(x-2)-6 equation:


Simplifying
11 + -45 = 4(x + -2) + -6

Combine like terms: 11 + -45 = -34
-34 = 4(x + -2) + -6

Reorder the terms:
-34 = 4(-2 + x) + -6
-34 = (-2 * 4 + x * 4) + -6
-34 = (-8 + 4x) + -6

Reorder the terms:
-34 = -8 + -6 + 4x

Combine like terms: -8 + -6 = -14
-34 = -14 + 4x

Solving
-34 = -14 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-34 + -4x = -14 + 4x + -4x

Combine like terms: 4x + -4x = 0
-34 + -4x = -14 + 0
-34 + -4x = -14

Add '34' to each side of the equation.
-34 + 34 + -4x = -14 + 34

Combine like terms: -34 + 34 = 0
0 + -4x = -14 + 34
-4x = -14 + 34

Combine like terms: -14 + 34 = 20
-4x = 20

Divide each side by '-4'.
x = -5

Simplifying
x = -5

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