7(3x+4)=2(5x+14)

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Solution for 7(3x+4)=2(5x+14) equation:


Simplifying
7(3x + 4) = 2(5x + 14)

Reorder the terms:
7(4 + 3x) = 2(5x + 14)
(4 * 7 + 3x * 7) = 2(5x + 14)
(28 + 21x) = 2(5x + 14)

Reorder the terms:
28 + 21x = 2(14 + 5x)
28 + 21x = (14 * 2 + 5x * 2)
28 + 21x = (28 + 10x)

Add '-28' to each side of the equation.
28 + -28 + 21x = 28 + -28 + 10x

Combine like terms: 28 + -28 = 0
0 + 21x = 28 + -28 + 10x
21x = 28 + -28 + 10x

Combine like terms: 28 + -28 = 0
21x = 0 + 10x
21x = 10x

Solving
21x = 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.
21x + -10x = 10x + -10x

Combine like terms: 21x + -10x = 11x
11x = 10x + -10x

Combine like terms: 10x + -10x = 0
11x = 0

Divide each side by '11'.
x = 0

Simplifying
x = 0

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