6(2+3x)=5(2x+4)

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Solution for 6(2+3x)=5(2x+4) equation:


Simplifying
6(2 + 3x) = 5(2x + 4)
(2 * 6 + 3x * 6) = 5(2x + 4)
(12 + 18x) = 5(2x + 4)

Reorder the terms:
12 + 18x = 5(4 + 2x)
12 + 18x = (4 * 5 + 2x * 5)
12 + 18x = (20 + 10x)

Solving
12 + 18x = 20 + 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.
12 + 18x + -10x = 20 + 10x + -10x

Combine like terms: 18x + -10x = 8x
12 + 8x = 20 + 10x + -10x

Combine like terms: 10x + -10x = 0
12 + 8x = 20 + 0
12 + 8x = 20

Add '-12' to each side of the equation.
12 + -12 + 8x = 20 + -12

Combine like terms: 12 + -12 = 0
0 + 8x = 20 + -12
8x = 20 + -12

Combine like terms: 20 + -12 = 8
8x = 8

Divide each side by '8'.
x = 1

Simplifying
x = 1

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