2(3x-7)=6(5x+9)

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Solution for 2(3x-7)=6(5x+9) equation:


Simplifying
2(3x + -7) = 6(5x + 9)

Reorder the terms:
2(-7 + 3x) = 6(5x + 9)
(-7 * 2 + 3x * 2) = 6(5x + 9)
(-14 + 6x) = 6(5x + 9)

Reorder the terms:
-14 + 6x = 6(9 + 5x)
-14 + 6x = (9 * 6 + 5x * 6)
-14 + 6x = (54 + 30x)

Solving
-14 + 6x = 54 + 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.
-14 + 6x + -30x = 54 + 30x + -30x

Combine like terms: 6x + -30x = -24x
-14 + -24x = 54 + 30x + -30x

Combine like terms: 30x + -30x = 0
-14 + -24x = 54 + 0
-14 + -24x = 54

Add '14' to each side of the equation.
-14 + 14 + -24x = 54 + 14

Combine like terms: -14 + 14 = 0
0 + -24x = 54 + 14
-24x = 54 + 14

Combine like terms: 54 + 14 = 68
-24x = 68

Divide each side by '-24'.
x = -2.833333333

Simplifying
x = -2.833333333

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