4(2x-5)=13-(x-3)

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Solution for 4(2x-5)=13-(x-3) equation:


Simplifying
4(2x + -5) = 13 + -1(x + -3)

Reorder the terms:
4(-5 + 2x) = 13 + -1(x + -3)
(-5 * 4 + 2x * 4) = 13 + -1(x + -3)
(-20 + 8x) = 13 + -1(x + -3)

Reorder the terms:
-20 + 8x = 13 + -1(-3 + x)
-20 + 8x = 13 + (-3 * -1 + x * -1)
-20 + 8x = 13 + (3 + -1x)

Combine like terms: 13 + 3 = 16
-20 + 8x = 16 + -1x

Solving
-20 + 8x = 16 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-20 + 8x + x = 16 + -1x + x

Combine like terms: 8x + x = 9x
-20 + 9x = 16 + -1x + x

Combine like terms: -1x + x = 0
-20 + 9x = 16 + 0
-20 + 9x = 16

Add '20' to each side of the equation.
-20 + 20 + 9x = 16 + 20

Combine like terms: -20 + 20 = 0
0 + 9x = 16 + 20
9x = 16 + 20

Combine like terms: 16 + 20 = 36
9x = 36

Divide each side by '9'.
x = 4

Simplifying
x = 4

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