11-4(x+1)-3=11+24-2x-16

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Solution for 11-4(x+1)-3=11+24-2x-16 equation:


Simplifying
11 + -4(x + 1) + -3 = 11 + 24 + -2x + -16

Reorder the terms:
11 + -4(1 + x) + -3 = 11 + 24 + -2x + -16
11 + (1 * -4 + x * -4) + -3 = 11 + 24 + -2x + -16
11 + (-4 + -4x) + -3 = 11 + 24 + -2x + -16

Reorder the terms:
11 + -4 + -3 + -4x = 11 + 24 + -2x + -16

Combine like terms: 11 + -4 = 7
7 + -3 + -4x = 11 + 24 + -2x + -16

Combine like terms: 7 + -3 = 4
4 + -4x = 11 + 24 + -2x + -16

Reorder the terms:
4 + -4x = 11 + 24 + -16 + -2x

Combine like terms: 11 + 24 = 35
4 + -4x = 35 + -16 + -2x

Combine like terms: 35 + -16 = 19
4 + -4x = 19 + -2x

Solving
4 + -4x = 19 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
4 + -4x + 2x = 19 + -2x + 2x

Combine like terms: -4x + 2x = -2x
4 + -2x = 19 + -2x + 2x

Combine like terms: -2x + 2x = 0
4 + -2x = 19 + 0
4 + -2x = 19

Add '-4' to each side of the equation.
4 + -4 + -2x = 19 + -4

Combine like terms: 4 + -4 = 0
0 + -2x = 19 + -4
-2x = 19 + -4

Combine like terms: 19 + -4 = 15
-2x = 15

Divide each side by '-2'.
x = -7.5

Simplifying
x = -7.5

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