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

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


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

Reorder the terms:
5(3 + x) = 2(3x + 4)
(3 * 5 + x * 5) = 2(3x + 4)
(15 + 5x) = 2(3x + 4)

Reorder the terms:
15 + 5x = 2(4 + 3x)
15 + 5x = (4 * 2 + 3x * 2)
15 + 5x = (8 + 6x)

Solving
15 + 5x = 8 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
15 + 5x + -6x = 8 + 6x + -6x

Combine like terms: 5x + -6x = -1x
15 + -1x = 8 + 6x + -6x

Combine like terms: 6x + -6x = 0
15 + -1x = 8 + 0
15 + -1x = 8

Add '-15' to each side of the equation.
15 + -15 + -1x = 8 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = 8 + -15
-1x = 8 + -15

Combine like terms: 8 + -15 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7

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