2x+11-3x+5=3(2x+16)

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Solution for 2x+11-3x+5=3(2x+16) equation:


Simplifying
2x + 11 + -3x + 5 = 3(2x + 16)

Reorder the terms:
11 + 5 + 2x + -3x = 3(2x + 16)

Combine like terms: 11 + 5 = 16
16 + 2x + -3x = 3(2x + 16)

Combine like terms: 2x + -3x = -1x
16 + -1x = 3(2x + 16)

Reorder the terms:
16 + -1x = 3(16 + 2x)
16 + -1x = (16 * 3 + 2x * 3)
16 + -1x = (48 + 6x)

Solving
16 + -1x = 48 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
16 + -1x + -6x = 48 + 6x + -6x

Combine like terms: -1x + -6x = -7x
16 + -7x = 48 + 6x + -6x

Combine like terms: 6x + -6x = 0
16 + -7x = 48 + 0
16 + -7x = 48

Add '-16' to each side of the equation.
16 + -16 + -7x = 48 + -16

Combine like terms: 16 + -16 = 0
0 + -7x = 48 + -16
-7x = 48 + -16

Combine like terms: 48 + -16 = 32
-7x = 32

Divide each side by '-7'.
x = -4.571428571

Simplifying
x = -4.571428571

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