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

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


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

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

Reorder the terms:
-10 + 5x = (4 + 3x)

Remove parenthesis around (4 + 3x)
-10 + 5x = 4 + 3x

Solving
-10 + 5x = 4 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-10 + 5x + -3x = 4 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-10 + 2x = 4 + 3x + -3x

Combine like terms: 3x + -3x = 0
-10 + 2x = 4 + 0
-10 + 2x = 4

Add '10' to each side of the equation.
-10 + 10 + 2x = 4 + 10

Combine like terms: -10 + 10 = 0
0 + 2x = 4 + 10
2x = 4 + 10

Combine like terms: 4 + 10 = 14
2x = 14

Divide each side by '2'.
x = 7

Simplifying
x = 7

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