-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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