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

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


Simplifying
6 + -1(2x + -3) = 4x + 7

Reorder the terms:
6 + -1(-3 + 2x) = 4x + 7
6 + (-3 * -1 + 2x * -1) = 4x + 7
6 + (3 + -2x) = 4x + 7

Combine like terms: 6 + 3 = 9
9 + -2x = 4x + 7

Reorder the terms:
9 + -2x = 7 + 4x

Solving
9 + -2x = 7 + 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.
9 + -2x + -4x = 7 + 4x + -4x

Combine like terms: -2x + -4x = -6x
9 + -6x = 7 + 4x + -4x

Combine like terms: 4x + -4x = 0
9 + -6x = 7 + 0
9 + -6x = 7

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

Combine like terms: 9 + -9 = 0
0 + -6x = 7 + -9
-6x = 7 + -9

Combine like terms: 7 + -9 = -2
-6x = -2

Divide each side by '-6'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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