3(6x-1)+4x=16(x+2)-(11-3x)

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Solution for 3(6x-1)+4x=16(x+2)-(11-3x) equation:


Simplifying
3(6x + -1) + 4x = 16(x + 2) + -1(11 + -3x)

Reorder the terms:
3(-1 + 6x) + 4x = 16(x + 2) + -1(11 + -3x)
(-1 * 3 + 6x * 3) + 4x = 16(x + 2) + -1(11 + -3x)
(-3 + 18x) + 4x = 16(x + 2) + -1(11 + -3x)

Combine like terms: 18x + 4x = 22x
-3 + 22x = 16(x + 2) + -1(11 + -3x)

Reorder the terms:
-3 + 22x = 16(2 + x) + -1(11 + -3x)
-3 + 22x = (2 * 16 + x * 16) + -1(11 + -3x)
-3 + 22x = (32 + 16x) + -1(11 + -3x)
-3 + 22x = 32 + 16x + (11 * -1 + -3x * -1)
-3 + 22x = 32 + 16x + (-11 + 3x)

Reorder the terms:
-3 + 22x = 32 + -11 + 16x + 3x

Combine like terms: 32 + -11 = 21
-3 + 22x = 21 + 16x + 3x

Combine like terms: 16x + 3x = 19x
-3 + 22x = 21 + 19x

Solving
-3 + 22x = 21 + 19x

Solving for variable 'x'.

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

Add '-19x' to each side of the equation.
-3 + 22x + -19x = 21 + 19x + -19x

Combine like terms: 22x + -19x = 3x
-3 + 3x = 21 + 19x + -19x

Combine like terms: 19x + -19x = 0
-3 + 3x = 21 + 0
-3 + 3x = 21

Add '3' to each side of the equation.
-3 + 3 + 3x = 21 + 3

Combine like terms: -3 + 3 = 0
0 + 3x = 21 + 3
3x = 21 + 3

Combine like terms: 21 + 3 = 24
3x = 24

Divide each side by '3'.
x = 8

Simplifying
x = 8

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