4(x-5)-3=6x-13

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Solution for 4(x-5)-3=6x-13 equation:


Simplifying
4(x + -5) + -3 = 6x + -13

Reorder the terms:
4(-5 + x) + -3 = 6x + -13
(-5 * 4 + x * 4) + -3 = 6x + -13
(-20 + 4x) + -3 = 6x + -13

Reorder the terms:
-20 + -3 + 4x = 6x + -13

Combine like terms: -20 + -3 = -23
-23 + 4x = 6x + -13

Reorder the terms:
-23 + 4x = -13 + 6x

Solving
-23 + 4x = -13 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-23 + 4x + -6x = -13 + 6x + -6x

Combine like terms: 4x + -6x = -2x
-23 + -2x = -13 + 6x + -6x

Combine like terms: 6x + -6x = 0
-23 + -2x = -13 + 0
-23 + -2x = -13

Add '23' to each side of the equation.
-23 + 23 + -2x = -13 + 23

Combine like terms: -23 + 23 = 0
0 + -2x = -13 + 23
-2x = -13 + 23

Combine like terms: -13 + 23 = 10
-2x = 10

Divide each side by '-2'.
x = -5

Simplifying
x = -5

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