10-2(4x+3)=9-3(4x-5)

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Solution for 10-2(4x+3)=9-3(4x-5) equation:


Simplifying
10 + -2(4x + 3) = 9 + -3(4x + -5)

Reorder the terms:
10 + -2(3 + 4x) = 9 + -3(4x + -5)
10 + (3 * -2 + 4x * -2) = 9 + -3(4x + -5)
10 + (-6 + -8x) = 9 + -3(4x + -5)

Combine like terms: 10 + -6 = 4
4 + -8x = 9 + -3(4x + -5)

Reorder the terms:
4 + -8x = 9 + -3(-5 + 4x)
4 + -8x = 9 + (-5 * -3 + 4x * -3)
4 + -8x = 9 + (15 + -12x)

Combine like terms: 9 + 15 = 24
4 + -8x = 24 + -12x

Solving
4 + -8x = 24 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
4 + -8x + 12x = 24 + -12x + 12x

Combine like terms: -8x + 12x = 4x
4 + 4x = 24 + -12x + 12x

Combine like terms: -12x + 12x = 0
4 + 4x = 24 + 0
4 + 4x = 24

Add '-4' to each side of the equation.
4 + -4 + 4x = 24 + -4

Combine like terms: 4 + -4 = 0
0 + 4x = 24 + -4
4x = 24 + -4

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

Divide each side by '4'.
x = 5

Simplifying
x = 5

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