8(x-5)=3x-10

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Solution for 8(x-5)=3x-10 equation:


Simplifying
8(x + -5) = 3x + -10

Reorder the terms:
8(-5 + x) = 3x + -10
(-5 * 8 + x * 8) = 3x + -10
(-40 + 8x) = 3x + -10

Reorder the terms:
-40 + 8x = -10 + 3x

Solving
-40 + 8x = -10 + 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.
-40 + 8x + -3x = -10 + 3x + -3x

Combine like terms: 8x + -3x = 5x
-40 + 5x = -10 + 3x + -3x

Combine like terms: 3x + -3x = 0
-40 + 5x = -10 + 0
-40 + 5x = -10

Add '40' to each side of the equation.
-40 + 40 + 5x = -10 + 40

Combine like terms: -40 + 40 = 0
0 + 5x = -10 + 40
5x = -10 + 40

Combine like terms: -10 + 40 = 30
5x = 30

Divide each side by '5'.
x = 6

Simplifying
x = 6

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