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

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


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

Reorder the terms:
6 + 2(-4 + x) = 3(x + -3)
6 + (-4 * 2 + x * 2) = 3(x + -3)
6 + (-8 + 2x) = 3(x + -3)

Combine like terms: 6 + -8 = -2
-2 + 2x = 3(x + -3)

Reorder the terms:
-2 + 2x = 3(-3 + x)
-2 + 2x = (-3 * 3 + x * 3)
-2 + 2x = (-9 + 3x)

Solving
-2 + 2x = -9 + 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.
-2 + 2x + -3x = -9 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-2 + -1x = -9 + 3x + -3x

Combine like terms: 3x + -3x = 0
-2 + -1x = -9 + 0
-2 + -1x = -9

Add '2' to each side of the equation.
-2 + 2 + -1x = -9 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = -9 + 2
-1x = -9 + 2

Combine like terms: -9 + 2 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7

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