7(2x+5)=3(4x+19)

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Solution for 7(2x+5)=3(4x+19) equation:


Simplifying
7(2x + 5) = 3(4x + 19)

Reorder the terms:
7(5 + 2x) = 3(4x + 19)
(5 * 7 + 2x * 7) = 3(4x + 19)
(35 + 14x) = 3(4x + 19)

Reorder the terms:
35 + 14x = 3(19 + 4x)
35 + 14x = (19 * 3 + 4x * 3)
35 + 14x = (57 + 12x)

Solving
35 + 14x = 57 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
35 + 14x + -12x = 57 + 12x + -12x

Combine like terms: 14x + -12x = 2x
35 + 2x = 57 + 12x + -12x

Combine like terms: 12x + -12x = 0
35 + 2x = 57 + 0
35 + 2x = 57

Add '-35' to each side of the equation.
35 + -35 + 2x = 57 + -35

Combine like terms: 35 + -35 = 0
0 + 2x = 57 + -35
2x = 57 + -35

Combine like terms: 57 + -35 = 22
2x = 22

Divide each side by '2'.
x = 11

Simplifying
x = 11

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