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

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


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

Reorder the terms:
7(-4 + x) = 6x + -6 + 3x
(-4 * 7 + x * 7) = 6x + -6 + 3x
(-28 + 7x) = 6x + -6 + 3x

Reorder the terms:
-28 + 7x = -6 + 6x + 3x

Combine like terms: 6x + 3x = 9x
-28 + 7x = -6 + 9x

Solving
-28 + 7x = -6 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-28 + 7x + -9x = -6 + 9x + -9x

Combine like terms: 7x + -9x = -2x
-28 + -2x = -6 + 9x + -9x

Combine like terms: 9x + -9x = 0
-28 + -2x = -6 + 0
-28 + -2x = -6

Add '28' to each side of the equation.
-28 + 28 + -2x = -6 + 28

Combine like terms: -28 + 28 = 0
0 + -2x = -6 + 28
-2x = -6 + 28

Combine like terms: -6 + 28 = 22
-2x = 22

Divide each side by '-2'.
x = -11

Simplifying
x = -11

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