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

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


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

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

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

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

Reorder the terms:
-12 + 4x = -8 + 1 + 2x + -1x

Combine like terms: -8 + 1 = -7
-12 + 4x = -7 + 2x + -1x

Combine like terms: 2x + -1x = 1x
-12 + 4x = -7 + 1x

Solving
-12 + 4x = -7 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-12 + 4x + -1x = -7 + 1x + -1x

Combine like terms: 4x + -1x = 3x
-12 + 3x = -7 + 1x + -1x

Combine like terms: 1x + -1x = 0
-12 + 3x = -7 + 0
-12 + 3x = -7

Add '12' to each side of the equation.
-12 + 12 + 3x = -7 + 12

Combine like terms: -12 + 12 = 0
0 + 3x = -7 + 12
3x = -7 + 12

Combine like terms: -7 + 12 = 5
3x = 5

Divide each side by '3'.
x = 1.666666667

Simplifying
x = 1.666666667

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