6x-7(2x-3)=62x-9

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Solution for 6x-7(2x-3)=62x-9 equation:


Simplifying
6x + -7(2x + -3) = 62x + -9

Reorder the terms:
6x + -7(-3 + 2x) = 62x + -9
6x + (-3 * -7 + 2x * -7) = 62x + -9
6x + (21 + -14x) = 62x + -9

Reorder the terms:
21 + 6x + -14x = 62x + -9

Combine like terms: 6x + -14x = -8x
21 + -8x = 62x + -9

Reorder the terms:
21 + -8x = -9 + 62x

Solving
21 + -8x = -9 + 62x

Solving for variable 'x'.

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

Add '-62x' to each side of the equation.
21 + -8x + -62x = -9 + 62x + -62x

Combine like terms: -8x + -62x = -70x
21 + -70x = -9 + 62x + -62x

Combine like terms: 62x + -62x = 0
21 + -70x = -9 + 0
21 + -70x = -9

Add '-21' to each side of the equation.
21 + -21 + -70x = -9 + -21

Combine like terms: 21 + -21 = 0
0 + -70x = -9 + -21
-70x = -9 + -21

Combine like terms: -9 + -21 = -30
-70x = -30

Divide each side by '-70'.
x = 0.4285714286

Simplifying
x = 0.4285714286

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