7x-8(3-2x)=5(3x-4)

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Solution for 7x-8(3-2x)=5(3x-4) equation:


Simplifying
7x + -8(3 + -2x) = 5(3x + -4)
7x + (3 * -8 + -2x * -8) = 5(3x + -4)
7x + (-24 + 16x) = 5(3x + -4)

Reorder the terms:
-24 + 7x + 16x = 5(3x + -4)

Combine like terms: 7x + 16x = 23x
-24 + 23x = 5(3x + -4)

Reorder the terms:
-24 + 23x = 5(-4 + 3x)
-24 + 23x = (-4 * 5 + 3x * 5)
-24 + 23x = (-20 + 15x)

Solving
-24 + 23x = -20 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
-24 + 23x + -15x = -20 + 15x + -15x

Combine like terms: 23x + -15x = 8x
-24 + 8x = -20 + 15x + -15x

Combine like terms: 15x + -15x = 0
-24 + 8x = -20 + 0
-24 + 8x = -20

Add '24' to each side of the equation.
-24 + 24 + 8x = -20 + 24

Combine like terms: -24 + 24 = 0
0 + 8x = -20 + 24
8x = -20 + 24

Combine like terms: -20 + 24 = 4
8x = 4

Divide each side by '8'.
x = 0.5

Simplifying
x = 0.5

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