3(x-5)-4(x-4)=6-1(1-x)

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Solution for 3(x-5)-4(x-4)=6-1(1-x) equation:


Simplifying
3(x + -5) + -4(x + -4) = 6 + -1(1 + -1x)

Reorder the terms:
3(-5 + x) + -4(x + -4) = 6 + -1(1 + -1x)
(-5 * 3 + x * 3) + -4(x + -4) = 6 + -1(1 + -1x)
(-15 + 3x) + -4(x + -4) = 6 + -1(1 + -1x)

Reorder the terms:
-15 + 3x + -4(-4 + x) = 6 + -1(1 + -1x)
-15 + 3x + (-4 * -4 + x * -4) = 6 + -1(1 + -1x)
-15 + 3x + (16 + -4x) = 6 + -1(1 + -1x)

Reorder the terms:
-15 + 16 + 3x + -4x = 6 + -1(1 + -1x)

Combine like terms: -15 + 16 = 1
1 + 3x + -4x = 6 + -1(1 + -1x)

Combine like terms: 3x + -4x = -1x
1 + -1x = 6 + -1(1 + -1x)
1 + -1x = 6 + (1 * -1 + -1x * -1)
1 + -1x = 6 + (-1 + 1x)

Combine like terms: 6 + -1 = 5
1 + -1x = 5 + 1x

Solving
1 + -1x = 5 + 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.
1 + -1x + -1x = 5 + 1x + -1x

Combine like terms: -1x + -1x = -2x
1 + -2x = 5 + 1x + -1x

Combine like terms: 1x + -1x = 0
1 + -2x = 5 + 0
1 + -2x = 5

Add '-1' to each side of the equation.
1 + -1 + -2x = 5 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = 5 + -1
-2x = 5 + -1

Combine like terms: 5 + -1 = 4
-2x = 4

Divide each side by '-2'.
x = -2

Simplifying
x = -2

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