2x+16=7(2x-5)+3

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Solution for 2x+16=7(2x-5)+3 equation: 


Simplifying
2x + 16 = 7(2x + -5) + 3

Reorder the terms:
16 + 2x = 7(2x + -5) + 3

Reorder the terms:
16 + 2x = 7(-5 + 2x) + 3
16 + 2x = (-5 * 7 + 2x * 7) + 3
16 + 2x = (-35 + 14x) + 3

Reorder the terms:
16 + 2x = -35 + 3 + 14x

Combine like terms: -35 + 3 = -32
16 + 2x = -32 + 14x

Solving
16 + 2x = -32 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
16 + 2x + -14x = -32 + 14x + -14x

Combine like terms: 2x + -14x = -12x
16 + -12x = -32 + 14x + -14x

Combine like terms: 14x + -14x = 0
16 + -12x = -32 + 0
16 + -12x = -32

Add '-16' to each side of the equation.
16 + -16 + -12x = -32 + -16

Combine like terms: 16 + -16 = 0
0 + -12x = -32 + -16
-12x = -32 + -16

Combine like terms: -32 + -16 = -48
-12x = -48

Divide each side by '-12'.
x = 4

Simplifying
x = 4

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