3(x-1)-8=4(1-x)-5

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Solution for 3(x-1)-8=4(1-x)-5 equation: 


Simplifying
3(x + -1) + -8 = 4(1 + -1x) + -5

Reorder the terms:
3(-1 + x) + -8 = 4(1 + -1x) + -5
(-1 * 3 + x * 3) + -8 = 4(1 + -1x) + -5
(-3 + 3x) + -8 = 4(1 + -1x) + -5

Reorder the terms:
-3 + -8 + 3x = 4(1 + -1x) + -5

Combine like terms: -3 + -8 = -11
-11 + 3x = 4(1 + -1x) + -5
-11 + 3x = (1 * 4 + -1x * 4) + -5
-11 + 3x = (4 + -4x) + -5

Reorder the terms:
-11 + 3x = 4 + -5 + -4x

Combine like terms: 4 + -5 = -1
-11 + 3x = -1 + -4x

Solving
-11 + 3x = -1 + -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.
-11 + 3x + 4x = -1 + -4x + 4x

Combine like terms: 3x + 4x = 7x
-11 + 7x = -1 + -4x + 4x

Combine like terms: -4x + 4x = 0
-11 + 7x = -1 + 0
-11 + 7x = -1

Add '11' to each side of the equation.
-11 + 11 + 7x = -1 + 11

Combine like terms: -11 + 11 = 0
0 + 7x = -1 + 11
7x = -1 + 11

Combine like terms: -1 + 11 = 10
7x = 10

Divide each side by '7'.
x = 1.428571429

Simplifying
x = 1.428571429

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