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

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


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

Reorder the terms:
8(-2 + x) + -4 = 3x + -5
(-2 * 8 + x * 8) + -4 = 3x + -5
(-16 + 8x) + -4 = 3x + -5

Reorder the terms:
-16 + -4 + 8x = 3x + -5

Combine like terms: -16 + -4 = -20
-20 + 8x = 3x + -5

Reorder the terms:
-20 + 8x = -5 + 3x

Solving
-20 + 8x = -5 + 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.
-20 + 8x + -3x = -5 + 3x + -3x

Combine like terms: 8x + -3x = 5x
-20 + 5x = -5 + 3x + -3x

Combine like terms: 3x + -3x = 0
-20 + 5x = -5 + 0
-20 + 5x = -5

Add '20' to each side of the equation.
-20 + 20 + 5x = -5 + 20

Combine like terms: -20 + 20 = 0
0 + 5x = -5 + 20
5x = -5 + 20

Combine like terms: -5 + 20 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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