4(3x+2)=5(8+6x)

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Solution for 4(3x+2)=5(8+6x) equation:


Simplifying
4(3x + 2) = 5(8 + 6x)

Reorder the terms:
4(2 + 3x) = 5(8 + 6x)
(2 * 4 + 3x * 4) = 5(8 + 6x)
(8 + 12x) = 5(8 + 6x)
8 + 12x = (8 * 5 + 6x * 5)
8 + 12x = (40 + 30x)

Solving
8 + 12x = 40 + 30x

Solving for variable 'x'.

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

Add '-30x' to each side of the equation.
8 + 12x + -30x = 40 + 30x + -30x

Combine like terms: 12x + -30x = -18x
8 + -18x = 40 + 30x + -30x

Combine like terms: 30x + -30x = 0
8 + -18x = 40 + 0
8 + -18x = 40

Add '-8' to each side of the equation.
8 + -8 + -18x = 40 + -8

Combine like terms: 8 + -8 = 0
0 + -18x = 40 + -8
-18x = 40 + -8

Combine like terms: 40 + -8 = 32
-18x = 32

Divide each side by '-18'.
x = -1.777777778

Simplifying
x = -1.777777778

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