6-(x-3)=3x-7

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


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

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

Combine like terms: 6 + 3 = 9
9 + -1x = 3x + -7

Reorder the terms:
9 + -1x = -7 + 3x

Solving
9 + -1x = -7 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
9 + -1x + -3x = -7 + 3x + -3x

Combine like terms: -1x + -3x = -4x
9 + -4x = -7 + 3x + -3x

Combine like terms: 3x + -3x = 0
9 + -4x = -7 + 0
9 + -4x = -7

Add '-9' to each side of the equation.
9 + -9 + -4x = -7 + -9

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

Combine like terms: -7 + -9 = -16
-4x = -16

Divide each side by '-4'.
x = 4

Simplifying
x = 4

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