2x+16=7x-19

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Solution for 2x+16=7x-19 equation:


Simplifying
2x + 16 = 7x + -19

Reorder the terms:
16 + 2x = 7x + -19

Reorder the terms:
16 + 2x = -19 + 7x

Solving
16 + 2x = -19 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
16 + 2x + -7x = -19 + 7x + -7x

Combine like terms: 2x + -7x = -5x
16 + -5x = -19 + 7x + -7x

Combine like terms: 7x + -7x = 0
16 + -5x = -19 + 0
16 + -5x = -19

Add '-16' to each side of the equation.
16 + -16 + -5x = -19 + -16

Combine like terms: 16 + -16 = 0
0 + -5x = -19 + -16
-5x = -19 + -16

Combine like terms: -19 + -16 = -35
-5x = -35

Divide each side by '-5'.
x = 7

Simplifying
x = 7

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