3(x-5)-8=-2(x-4)

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Solution for 3(x-5)-8=-2(x-4) equation:


Simplifying
3(x + -5) + -8 = -2(x + -4)

Reorder the terms:
3(-5 + x) + -8 = -2(x + -4)
(-5 * 3 + x * 3) + -8 = -2(x + -4)
(-15 + 3x) + -8 = -2(x + -4)

Reorder the terms:
-15 + -8 + 3x = -2(x + -4)

Combine like terms: -15 + -8 = -23
-23 + 3x = -2(x + -4)

Reorder the terms:
-23 + 3x = -2(-4 + x)
-23 + 3x = (-4 * -2 + x * -2)
-23 + 3x = (8 + -2x)

Solving
-23 + 3x = 8 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-23 + 3x + 2x = 8 + -2x + 2x

Combine like terms: 3x + 2x = 5x
-23 + 5x = 8 + -2x + 2x

Combine like terms: -2x + 2x = 0
-23 + 5x = 8 + 0
-23 + 5x = 8

Add '23' to each side of the equation.
-23 + 23 + 5x = 8 + 23

Combine like terms: -23 + 23 = 0
0 + 5x = 8 + 23
5x = 8 + 23

Combine like terms: 8 + 23 = 31
5x = 31

Divide each side by '5'.
x = 6.2

Simplifying
x = 6.2

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