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

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


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

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

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

Solving
-8 + 8x = -15 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-8 + 8x + -3x = -15 + 3x + -3x

Combine like terms: 8x + -3x = 5x
-8 + 5x = -15 + 3x + -3x

Combine like terms: 3x + -3x = 0
-8 + 5x = -15 + 0
-8 + 5x = -15

Add '8' to each side of the equation.
-8 + 8 + 5x = -15 + 8

Combine like terms: -8 + 8 = 0
0 + 5x = -15 + 8
5x = -15 + 8

Combine like terms: -15 + 8 = -7
5x = -7

Divide each side by '5'.
x = -1.4

Simplifying
x = -1.4

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