34x-5(2x+1)=16x+19

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Solution for 34x-5(2x+1)=16x+19 equation:


Simplifying
34x + -5(2x + 1) = 16x + 19

Reorder the terms:
34x + -5(1 + 2x) = 16x + 19
34x + (1 * -5 + 2x * -5) = 16x + 19
34x + (-5 + -10x) = 16x + 19

Reorder the terms:
-5 + 34x + -10x = 16x + 19

Combine like terms: 34x + -10x = 24x
-5 + 24x = 16x + 19

Reorder the terms:
-5 + 24x = 19 + 16x

Solving
-5 + 24x = 19 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
-5 + 24x + -16x = 19 + 16x + -16x

Combine like terms: 24x + -16x = 8x
-5 + 8x = 19 + 16x + -16x

Combine like terms: 16x + -16x = 0
-5 + 8x = 19 + 0
-5 + 8x = 19

Add '5' to each side of the equation.
-5 + 5 + 8x = 19 + 5

Combine like terms: -5 + 5 = 0
0 + 8x = 19 + 5
8x = 19 + 5

Combine like terms: 19 + 5 = 24
8x = 24

Divide each side by '8'.
x = 3

Simplifying
x = 3

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