2(4x-3)=6x+7

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Solution for 2(4x-3)=6x+7 equation:


Simplifying
2(4x + -3) = 6x + 7

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

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

Solving
-6 + 8x = 7 + 6x

Solving for variable 'x'.

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

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

Combine like terms: 8x + -6x = 2x
-6 + 2x = 7 + 6x + -6x

Combine like terms: 6x + -6x = 0
-6 + 2x = 7 + 0
-6 + 2x = 7

Add '6' to each side of the equation.
-6 + 6 + 2x = 7 + 6

Combine like terms: -6 + 6 = 0
0 + 2x = 7 + 6
2x = 7 + 6

Combine like terms: 7 + 6 = 13
2x = 13

Divide each side by '2'.
x = 6.5

Simplifying
x = 6.5

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