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

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


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

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

Reorder the terms:
6 + 3x + -2x = 5x + 4(x + 5)

Combine like terms: 3x + -2x = 1x
6 + 1x = 5x + 4(x + 5)

Reorder the terms:
6 + 1x = 5x + 4(5 + x)
6 + 1x = 5x + (5 * 4 + x * 4)
6 + 1x = 5x + (20 + 4x)

Reorder the terms:
6 + 1x = 20 + 5x + 4x

Combine like terms: 5x + 4x = 9x
6 + 1x = 20 + 9x

Solving
6 + 1x = 20 + 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.
6 + 1x + -9x = 20 + 9x + -9x

Combine like terms: 1x + -9x = -8x
6 + -8x = 20 + 9x + -9x

Combine like terms: 9x + -9x = 0
6 + -8x = 20 + 0
6 + -8x = 20

Add '-6' to each side of the equation.
6 + -6 + -8x = 20 + -6

Combine like terms: 6 + -6 = 0
0 + -8x = 20 + -6
-8x = 20 + -6

Combine like terms: 20 + -6 = 14
-8x = 14

Divide each side by '-8'.
x = -1.75

Simplifying
x = -1.75

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