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

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


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

Reorder the terms:
4 + 6(-3 + x) = 4(x + -2)
4 + (-3 * 6 + x * 6) = 4(x + -2)
4 + (-18 + 6x) = 4(x + -2)

Combine like terms: 4 + -18 = -14
-14 + 6x = 4(x + -2)

Reorder the terms:
-14 + 6x = 4(-2 + x)
-14 + 6x = (-2 * 4 + x * 4)
-14 + 6x = (-8 + 4x)

Solving
-14 + 6x = -8 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-14 + 6x + -4x = -8 + 4x + -4x

Combine like terms: 6x + -4x = 2x
-14 + 2x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
-14 + 2x = -8 + 0
-14 + 2x = -8

Add '14' to each side of the equation.
-14 + 14 + 2x = -8 + 14

Combine like terms: -14 + 14 = 0
0 + 2x = -8 + 14
2x = -8 + 14

Combine like terms: -8 + 14 = 6
2x = 6

Divide each side by '2'.
x = 3

Simplifying
x = 3

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