5X-7=6(2X-3)+2

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


Simplifying
5X + -7 = 6(2X + -3) + 2

Reorder the terms:
-7 + 5X = 6(2X + -3) + 2

Reorder the terms:
-7 + 5X = 6(-3 + 2X) + 2
-7 + 5X = (-3 * 6 + 2X * 6) + 2
-7 + 5X = (-18 + 12X) + 2

Reorder the terms:
-7 + 5X = -18 + 2 + 12X

Combine like terms: -18 + 2 = -16
-7 + 5X = -16 + 12X

Solving
-7 + 5X = -16 + 12X

Solving for variable 'X'.

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

Add '-12X' to each side of the equation.
-7 + 5X + -12X = -16 + 12X + -12X

Combine like terms: 5X + -12X = -7X
-7 + -7X = -16 + 12X + -12X

Combine like terms: 12X + -12X = 0
-7 + -7X = -16 + 0
-7 + -7X = -16

Add '7' to each side of the equation.
-7 + 7 + -7X = -16 + 7

Combine like terms: -7 + 7 = 0
0 + -7X = -16 + 7
-7X = -16 + 7

Combine like terms: -16 + 7 = -9
-7X = -9

Divide each side by '-7'.
X = 1.285714286

Simplifying
X = 1.285714286

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