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

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


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

Reorder the terms:
2(-4 + 3x) = -7x + 9
(-4 * 2 + 3x * 2) = -7x + 9
(-8 + 6x) = -7x + 9

Reorder the terms:
-8 + 6x = 9 + -7x

Solving
-8 + 6x = 9 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-8 + 6x + 7x = 9 + -7x + 7x

Combine like terms: 6x + 7x = 13x
-8 + 13x = 9 + -7x + 7x

Combine like terms: -7x + 7x = 0
-8 + 13x = 9 + 0
-8 + 13x = 9

Add '8' to each side of the equation.
-8 + 8 + 13x = 9 + 8

Combine like terms: -8 + 8 = 0
0 + 13x = 9 + 8
13x = 9 + 8

Combine like terms: 9 + 8 = 17
13x = 17

Divide each side by '13'.
x = 1.307692308

Simplifying
x = 1.307692308

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