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

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


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

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

Remove parenthesis around (-4 + 2x)
-4 + 2x + -1(6x + -3) = 7

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

Reorder the terms:
-4 + 3 + 2x + -6x = 7

Combine like terms: -4 + 3 = -1
-1 + 2x + -6x = 7

Combine like terms: 2x + -6x = -4x
-1 + -4x = 7

Solving
-1 + -4x = 7

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + -4x = 7 + 1

Combine like terms: -1 + 1 = 0
0 + -4x = 7 + 1
-4x = 7 + 1

Combine like terms: 7 + 1 = 8
-4x = 8

Divide each side by '-4'.
x = -2

Simplifying
x = -2

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