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

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


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

Reorder the terms:
5(-3 + 8x) = 3 + -2(4x + -3)
(-3 * 5 + 8x * 5) = 3 + -2(4x + -3)
(-15 + 40x) = 3 + -2(4x + -3)

Reorder the terms:
-15 + 40x = 3 + -2(-3 + 4x)
-15 + 40x = 3 + (-3 * -2 + 4x * -2)
-15 + 40x = 3 + (6 + -8x)

Combine like terms: 3 + 6 = 9
-15 + 40x = 9 + -8x

Solving
-15 + 40x = 9 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-15 + 40x + 8x = 9 + -8x + 8x

Combine like terms: 40x + 8x = 48x
-15 + 48x = 9 + -8x + 8x

Combine like terms: -8x + 8x = 0
-15 + 48x = 9 + 0
-15 + 48x = 9

Add '15' to each side of the equation.
-15 + 15 + 48x = 9 + 15

Combine like terms: -15 + 15 = 0
0 + 48x = 9 + 15
48x = 9 + 15

Combine like terms: 9 + 15 = 24
48x = 24

Divide each side by '48'.
x = 0.5

Simplifying
x = 0.5

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