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

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


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

Reorder the terms:
5(2 + 4x) = 7(3x)
(2 * 5 + 4x * 5) = 7(3x)
(10 + 20x) = 7(3x)

Remove parenthesis around (3x)
10 + 20x = 7 * 3x

Multiply 7 * 3
10 + 20x = 21x

Solving
10 + 20x = 21x

Solving for variable 'x'.

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

Add '-21x' to each side of the equation.
10 + 20x + -21x = 21x + -21x

Combine like terms: 20x + -21x = -1x
10 + -1x = 21x + -21x

Combine like terms: 21x + -21x = 0
10 + -1x = 0

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10

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