4x-(8x+13)=2-(9x-8)

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Solution for 4x-(8x+13)=2-(9x-8) equation:


Simplifying
4x + -1(8x + 13) = 2 + -1(9x + -8)

Reorder the terms:
4x + -1(13 + 8x) = 2 + -1(9x + -8)
4x + (13 * -1 + 8x * -1) = 2 + -1(9x + -8)
4x + (-13 + -8x) = 2 + -1(9x + -8)

Reorder the terms:
-13 + 4x + -8x = 2 + -1(9x + -8)

Combine like terms: 4x + -8x = -4x
-13 + -4x = 2 + -1(9x + -8)

Reorder the terms:
-13 + -4x = 2 + -1(-8 + 9x)
-13 + -4x = 2 + (-8 * -1 + 9x * -1)
-13 + -4x = 2 + (8 + -9x)

Combine like terms: 2 + 8 = 10
-13 + -4x = 10 + -9x

Solving
-13 + -4x = 10 + -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.
-13 + -4x + 9x = 10 + -9x + 9x

Combine like terms: -4x + 9x = 5x
-13 + 5x = 10 + -9x + 9x

Combine like terms: -9x + 9x = 0
-13 + 5x = 10 + 0
-13 + 5x = 10

Add '13' to each side of the equation.
-13 + 13 + 5x = 10 + 13

Combine like terms: -13 + 13 = 0
0 + 5x = 10 + 13
5x = 10 + 13

Combine like terms: 10 + 13 = 23
5x = 23

Divide each side by '5'.
x = 4.6

Simplifying
x = 4.6

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