9-3(x-2)=4(x-1)-2

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Solution for 9-3(x-2)=4(x-1)-2 equation: 


Simplifying
9 + -3(x + -2) = 4(x + -1) + -2

Reorder the terms:
9 + -3(-2 + x) = 4(x + -1) + -2
9 + (-2 * -3 + x * -3) = 4(x + -1) + -2
9 + (6 + -3x) = 4(x + -1) + -2

Combine like terms: 9 + 6 = 15
15 + -3x = 4(x + -1) + -2

Reorder the terms:
15 + -3x = 4(-1 + x) + -2
15 + -3x = (-1 * 4 + x * 4) + -2
15 + -3x = (-4 + 4x) + -2

Reorder the terms:
15 + -3x = -4 + -2 + 4x

Combine like terms: -4 + -2 = -6
15 + -3x = -6 + 4x

Solving
15 + -3x = -6 + 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.
15 + -3x + -4x = -6 + 4x + -4x

Combine like terms: -3x + -4x = -7x
15 + -7x = -6 + 4x + -4x

Combine like terms: 4x + -4x = 0
15 + -7x = -6 + 0
15 + -7x = -6

Add '-15' to each side of the equation.
15 + -15 + -7x = -6 + -15

Combine like terms: 15 + -15 = 0
0 + -7x = -6 + -15
-7x = -6 + -15

Combine like terms: -6 + -15 = -21
-7x = -21

Divide each side by '-7'.
x = 3

Simplifying
x = 3

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