7(2x+1)=3(4x+5)

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Solution for 7(2x+1)=3(4x+5) equation:


Simplifying
7(2x + 1) = 3(4x + 5)

Reorder the terms:
7(1 + 2x) = 3(4x + 5)
(1 * 7 + 2x * 7) = 3(4x + 5)
(7 + 14x) = 3(4x + 5)

Reorder the terms:
7 + 14x = 3(5 + 4x)
7 + 14x = (5 * 3 + 4x * 3)
7 + 14x = (15 + 12x)

Solving
7 + 14x = 15 + 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.
7 + 14x + -12x = 15 + 12x + -12x

Combine like terms: 14x + -12x = 2x
7 + 2x = 15 + 12x + -12x

Combine like terms: 12x + -12x = 0
7 + 2x = 15 + 0
7 + 2x = 15

Add '-7' to each side of the equation.
7 + -7 + 2x = 15 + -7

Combine like terms: 7 + -7 = 0
0 + 2x = 15 + -7
2x = 15 + -7

Combine like terms: 15 + -7 = 8
2x = 8

Divide each side by '2'.
x = 4

Simplifying
x = 4

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