3x-2=4(x-3)

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


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

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

Reorder the terms:
-2 + 3x = 4(-3 + x)
-2 + 3x = (-3 * 4 + x * 4)
-2 + 3x = (-12 + 4x)

Solving
-2 + 3x = -12 + 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.
-2 + 3x + -4x = -12 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-2 + -1x = -12 + 4x + -4x

Combine like terms: 4x + -4x = 0
-2 + -1x = -12 + 0
-2 + -1x = -12

Add '2' to each side of the equation.
-2 + 2 + -1x = -12 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = -12 + 2
-1x = -12 + 2

Combine like terms: -12 + 2 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10

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