3x+19=5(2x+1)

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Solution for 3x+19=5(2x+1) equation:


Simplifying
3x + 19 = 5(2x + 1)

Reorder the terms:
19 + 3x = 5(2x + 1)

Reorder the terms:
19 + 3x = 5(1 + 2x)
19 + 3x = (1 * 5 + 2x * 5)
19 + 3x = (5 + 10x)

Solving
19 + 3x = 5 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
19 + 3x + -10x = 5 + 10x + -10x

Combine like terms: 3x + -10x = -7x
19 + -7x = 5 + 10x + -10x

Combine like terms: 10x + -10x = 0
19 + -7x = 5 + 0
19 + -7x = 5

Add '-19' to each side of the equation.
19 + -19 + -7x = 5 + -19

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

Combine like terms: 5 + -19 = -14
-7x = -14

Divide each side by '-7'.
x = 2

Simplifying
x = 2

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