2(3x-7)=4x-9

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Solution for 2(3x-7)=4x-9 equation:


Simplifying
2(3x + -7) = 4x + -9

Reorder the terms:
2(-7 + 3x) = 4x + -9
(-7 * 2 + 3x * 2) = 4x + -9
(-14 + 6x) = 4x + -9

Reorder the terms:
-14 + 6x = -9 + 4x

Solving
-14 + 6x = -9 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-14 + 6x + -4x = -9 + 4x + -4x

Combine like terms: 6x + -4x = 2x
-14 + 2x = -9 + 4x + -4x

Combine like terms: 4x + -4x = 0
-14 + 2x = -9 + 0
-14 + 2x = -9

Add '14' to each side of the equation.
-14 + 14 + 2x = -9 + 14

Combine like terms: -14 + 14 = 0
0 + 2x = -9 + 14
2x = -9 + 14

Combine like terms: -9 + 14 = 5
2x = 5

Divide each side by '2'.
x = 2.5

Simplifying
x = 2.5

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