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

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


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

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

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

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

Reorder the terms:
-6 + 4x = 6(-2 + x)
-6 + 4x = (-2 * 6 + x * 6)
-6 + 4x = (-12 + 6x)

Solving
-6 + 4x = -12 + 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 + 4x + -6x = -12 + 6x + -6x

Combine like terms: 4x + -6x = -2x
-6 + -2x = -12 + 6x + -6x

Combine like terms: 6x + -6x = 0
-6 + -2x = -12 + 0
-6 + -2x = -12

Add '6' to each side of the equation.
-6 + 6 + -2x = -12 + 6

Combine like terms: -6 + 6 = 0
0 + -2x = -12 + 6
-2x = -12 + 6

Combine like terms: -12 + 6 = -6
-2x = -6

Divide each side by '-2'.
x = 3

Simplifying
x = 3

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