4(3x-2)-7=3(x-2)

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Solution for 4(3x-2)-7=3(x-2) equation:


Simplifying
4(3x + -2) + -7 = 3(x + -2)

Reorder the terms:
4(-2 + 3x) + -7 = 3(x + -2)
(-2 * 4 + 3x * 4) + -7 = 3(x + -2)
(-8 + 12x) + -7 = 3(x + -2)

Reorder the terms:
-8 + -7 + 12x = 3(x + -2)

Combine like terms: -8 + -7 = -15
-15 + 12x = 3(x + -2)

Reorder the terms:
-15 + 12x = 3(-2 + x)
-15 + 12x = (-2 * 3 + x * 3)
-15 + 12x = (-6 + 3x)

Solving
-15 + 12x = -6 + 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.
-15 + 12x + -3x = -6 + 3x + -3x

Combine like terms: 12x + -3x = 9x
-15 + 9x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0
-15 + 9x = -6 + 0
-15 + 9x = -6

Add '15' to each side of the equation.
-15 + 15 + 9x = -6 + 15

Combine like terms: -15 + 15 = 0
0 + 9x = -6 + 15
9x = -6 + 15

Combine like terms: -6 + 15 = 9
9x = 9

Divide each side by '9'.
x = 1

Simplifying
x = 1

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