4x-3(2x-3)=2(x-6)-1

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Solution for 4x-3(2x-3)=2(x-6)-1 equation:


Simplifying
4x + -3(2x + -3) = 2(x + -6) + -1

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

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

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

Reorder the terms:
9 + -2x = 2(-6 + x) + -1
9 + -2x = (-6 * 2 + x * 2) + -1
9 + -2x = (-12 + 2x) + -1

Reorder the terms:
9 + -2x = -12 + -1 + 2x

Combine like terms: -12 + -1 = -13
9 + -2x = -13 + 2x

Solving
9 + -2x = -13 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
9 + -2x + -2x = -13 + 2x + -2x

Combine like terms: -2x + -2x = -4x
9 + -4x = -13 + 2x + -2x

Combine like terms: 2x + -2x = 0
9 + -4x = -13 + 0
9 + -4x = -13

Add '-9' to each side of the equation.
9 + -9 + -4x = -13 + -9

Combine like terms: 9 + -9 = 0
0 + -4x = -13 + -9
-4x = -13 + -9

Combine like terms: -13 + -9 = -22
-4x = -22

Divide each side by '-4'.
x = 5.5

Simplifying
x = 5.5

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