8(4x-10)=3(15x)

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Solution for 8(4x-10)=3(15x) equation:


Simplifying
8(4x + -10) = 3(15x)

Reorder the terms:
8(-10 + 4x) = 3(15x)
(-10 * 8 + 4x * 8) = 3(15x)
(-80 + 32x) = 3(15x)

Remove parenthesis around (15x)
-80 + 32x = 3 * 15x

Multiply 3 * 15
-80 + 32x = 45x

Solving
-80 + 32x = 45x

Solving for variable 'x'.

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

Add '-45x' to each side of the equation.
-80 + 32x + -45x = 45x + -45x

Combine like terms: 32x + -45x = -13x
-80 + -13x = 45x + -45x

Combine like terms: 45x + -45x = 0
-80 + -13x = 0

Add '80' to each side of the equation.
-80 + 80 + -13x = 0 + 80

Combine like terms: -80 + 80 = 0
0 + -13x = 0 + 80
-13x = 0 + 80

Combine like terms: 0 + 80 = 80
-13x = 80

Divide each side by '-13'.
x = -6.153846154

Simplifying
x = -6.153846154

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