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

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


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

Reorder the terms:
3 + -4(-3 + 2x) = 6 + -1(x + -1)
3 + (-3 * -4 + 2x * -4) = 6 + -1(x + -1)
3 + (12 + -8x) = 6 + -1(x + -1)

Combine like terms: 3 + 12 = 15
15 + -8x = 6 + -1(x + -1)

Reorder the terms:
15 + -8x = 6 + -1(-1 + x)
15 + -8x = 6 + (-1 * -1 + x * -1)
15 + -8x = 6 + (1 + -1x)

Combine like terms: 6 + 1 = 7
15 + -8x = 7 + -1x

Solving
15 + -8x = 7 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
15 + -8x + x = 7 + -1x + x

Combine like terms: -8x + x = -7x
15 + -7x = 7 + -1x + x

Combine like terms: -1x + x = 0
15 + -7x = 7 + 0
15 + -7x = 7

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

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

Combine like terms: 7 + -15 = -8
-7x = -8

Divide each side by '-7'.
x = 1.142857143

Simplifying
x = 1.142857143

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