2x+8(x-3)=4x+5(x-9)

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Solution for 2x+8(x-3)=4x+5(x-9) equation:


Simplifying
2x + 8(x + -3) = 4x + 5(x + -9)

Reorder the terms:
2x + 8(-3 + x) = 4x + 5(x + -9)
2x + (-3 * 8 + x * 8) = 4x + 5(x + -9)
2x + (-24 + 8x) = 4x + 5(x + -9)

Reorder the terms:
-24 + 2x + 8x = 4x + 5(x + -9)

Combine like terms: 2x + 8x = 10x
-24 + 10x = 4x + 5(x + -9)

Reorder the terms:
-24 + 10x = 4x + 5(-9 + x)
-24 + 10x = 4x + (-9 * 5 + x * 5)
-24 + 10x = 4x + (-45 + 5x)

Reorder the terms:
-24 + 10x = -45 + 4x + 5x

Combine like terms: 4x + 5x = 9x
-24 + 10x = -45 + 9x

Solving
-24 + 10x = -45 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-24 + 10x + -9x = -45 + 9x + -9x

Combine like terms: 10x + -9x = 1x
-24 + 1x = -45 + 9x + -9x

Combine like terms: 9x + -9x = 0
-24 + 1x = -45 + 0
-24 + 1x = -45

Add '24' to each side of the equation.
-24 + 24 + 1x = -45 + 24

Combine like terms: -24 + 24 = 0
0 + 1x = -45 + 24
1x = -45 + 24

Combine like terms: -45 + 24 = -21
1x = -21

Divide each side by '1'.
x = -21

Simplifying
x = -21

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