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

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


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

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

Reorder the terms:
-20 + 8x = 13 + -3x

Solving
-20 + 8x = 13 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-20 + 8x + 3x = 13 + -3x + 3x

Combine like terms: 8x + 3x = 11x
-20 + 11x = 13 + -3x + 3x

Combine like terms: -3x + 3x = 0
-20 + 11x = 13 + 0
-20 + 11x = 13

Add '20' to each side of the equation.
-20 + 20 + 11x = 13 + 20

Combine like terms: -20 + 20 = 0
0 + 11x = 13 + 20
11x = 13 + 20

Combine like terms: 13 + 20 = 33
11x = 33

Divide each side by '11'.
x = 3

Simplifying
x = 3

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