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

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


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

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

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

Combine like terms: 11 + 4 = 15
15 + -3 + -4x = 11 + -2(4 + -2x) + -16

Combine like terms: 15 + -3 = 12
12 + -4x = 11 + -2(4 + -2x) + -16
12 + -4x = 11 + (4 * -2 + -2x * -2) + -16
12 + -4x = 11 + (-8 + 4x) + -16

Reorder the terms:
12 + -4x = 11 + -8 + -16 + 4x

Combine like terms: 11 + -8 = 3
12 + -4x = 3 + -16 + 4x

Combine like terms: 3 + -16 = -13
12 + -4x = -13 + 4x

Solving
12 + -4x = -13 + 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.
12 + -4x + -4x = -13 + 4x + -4x

Combine like terms: -4x + -4x = -8x
12 + -8x = -13 + 4x + -4x

Combine like terms: 4x + -4x = 0
12 + -8x = -13 + 0
12 + -8x = -13

Add '-12' to each side of the equation.
12 + -12 + -8x = -13 + -12

Combine like terms: 12 + -12 = 0
0 + -8x = -13 + -12
-8x = -13 + -12

Combine like terms: -13 + -12 = -25
-8x = -25

Divide each side by '-8'.
x = 3.125

Simplifying
x = 3.125

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