11x+4(x-5)-16=-4x+2

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Solution for 11x+4(x-5)-16=-4x+2 equation:


Simplifying
11x + 4(x + -5) + -16 = -4x + 2

Reorder the terms:
11x + 4(-5 + x) + -16 = -4x + 2
11x + (-5 * 4 + x * 4) + -16 = -4x + 2
11x + (-20 + 4x) + -16 = -4x + 2

Reorder the terms:
-20 + -16 + 11x + 4x = -4x + 2

Combine like terms: -20 + -16 = -36
-36 + 11x + 4x = -4x + 2

Combine like terms: 11x + 4x = 15x
-36 + 15x = -4x + 2

Reorder the terms:
-36 + 15x = 2 + -4x

Solving
-36 + 15x = 2 + -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.
-36 + 15x + 4x = 2 + -4x + 4x

Combine like terms: 15x + 4x = 19x
-36 + 19x = 2 + -4x + 4x

Combine like terms: -4x + 4x = 0
-36 + 19x = 2 + 0
-36 + 19x = 2

Add '36' to each side of the equation.
-36 + 36 + 19x = 2 + 36

Combine like terms: -36 + 36 = 0
0 + 19x = 2 + 36
19x = 2 + 36

Combine like terms: 2 + 36 = 38
19x = 38

Divide each side by '19'.
x = 2

Simplifying
x = 2

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