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

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


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

Reorder the terms:
6 + -3(-1 + 4x) = 4(x + -2) + 1
6 + (-1 * -3 + 4x * -3) = 4(x + -2) + 1
6 + (3 + -12x) = 4(x + -2) + 1

Combine like terms: 6 + 3 = 9
9 + -12x = 4(x + -2) + 1

Reorder the terms:
9 + -12x = 4(-2 + x) + 1
9 + -12x = (-2 * 4 + x * 4) + 1
9 + -12x = (-8 + 4x) + 1

Reorder the terms:
9 + -12x = -8 + 1 + 4x

Combine like terms: -8 + 1 = -7
9 + -12x = -7 + 4x

Solving
9 + -12x = -7 + 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.
9 + -12x + -4x = -7 + 4x + -4x

Combine like terms: -12x + -4x = -16x
9 + -16x = -7 + 4x + -4x

Combine like terms: 4x + -4x = 0
9 + -16x = -7 + 0
9 + -16x = -7

Add '-9' to each side of the equation.
9 + -9 + -16x = -7 + -9

Combine like terms: 9 + -9 = 0
0 + -16x = -7 + -9
-16x = -7 + -9

Combine like terms: -7 + -9 = -16
-16x = -16

Divide each side by '-16'.
x = 1

Simplifying
x = 1

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