8(4x-10)=7x-2

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Solution for 8(4x-10)=7x-2 equation:


Simplifying
8(4x + -10) = 7x + -2

Reorder the terms:
8(-10 + 4x) = 7x + -2
(-10 * 8 + 4x * 8) = 7x + -2
(-80 + 32x) = 7x + -2

Reorder the terms:
-80 + 32x = -2 + 7x

Solving
-80 + 32x = -2 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-80 + 32x + -7x = -2 + 7x + -7x

Combine like terms: 32x + -7x = 25x
-80 + 25x = -2 + 7x + -7x

Combine like terms: 7x + -7x = 0
-80 + 25x = -2 + 0
-80 + 25x = -2

Add '80' to each side of the equation.
-80 + 80 + 25x = -2 + 80

Combine like terms: -80 + 80 = 0
0 + 25x = -2 + 80
25x = -2 + 80

Combine like terms: -2 + 80 = 78
25x = 78

Divide each side by '25'.
x = 3.12

Simplifying
x = 3.12

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