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

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


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

Reorder the terms:
4 + -3(-5 + x) = 5x + -13
4 + (-5 * -3 + x * -3) = 5x + -13
4 + (15 + -3x) = 5x + -13

Combine like terms: 4 + 15 = 19
19 + -3x = 5x + -13

Reorder the terms:
19 + -3x = -13 + 5x

Solving
19 + -3x = -13 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
19 + -3x + -5x = -13 + 5x + -5x

Combine like terms: -3x + -5x = -8x
19 + -8x = -13 + 5x + -5x

Combine like terms: 5x + -5x = 0
19 + -8x = -13 + 0
19 + -8x = -13

Add '-19' to each side of the equation.
19 + -19 + -8x = -13 + -19

Combine like terms: 19 + -19 = 0
0 + -8x = -13 + -19
-8x = -13 + -19

Combine like terms: -13 + -19 = -32
-8x = -32

Divide each side by '-8'.
x = 4

Simplifying
x = 4

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