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

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


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

Reorder the terms:
3(-5 + x) + -8 = 1 + -1(x + -4)
(-5 * 3 + x * 3) + -8 = 1 + -1(x + -4)
(-15 + 3x) + -8 = 1 + -1(x + -4)

Reorder the terms:
-15 + -8 + 3x = 1 + -1(x + -4)

Combine like terms: -15 + -8 = -23
-23 + 3x = 1 + -1(x + -4)

Reorder the terms:
-23 + 3x = 1 + -1(-4 + x)
-23 + 3x = 1 + (-4 * -1 + x * -1)
-23 + 3x = 1 + (4 + -1x)

Combine like terms: 1 + 4 = 5
-23 + 3x = 5 + -1x

Solving
-23 + 3x = 5 + -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.
-23 + 3x + x = 5 + -1x + x

Combine like terms: 3x + x = 4x
-23 + 4x = 5 + -1x + x

Combine like terms: -1x + x = 0
-23 + 4x = 5 + 0
-23 + 4x = 5

Add '23' to each side of the equation.
-23 + 23 + 4x = 5 + 23

Combine like terms: -23 + 23 = 0
0 + 4x = 5 + 23
4x = 5 + 23

Combine like terms: 5 + 23 = 28
4x = 28

Divide each side by '4'.
x = 7

Simplifying
x = 7

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