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

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


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

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

Reorder the terms:
-20 + 2 + 4x = x + -3

Combine like terms: -20 + 2 = -18
-18 + 4x = x + -3

Reorder the terms:
-18 + 4x = -3 + x

Solving
-18 + 4x = -3 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-18 + 4x + -1x = -3 + x + -1x

Combine like terms: 4x + -1x = 3x
-18 + 3x = -3 + x + -1x

Combine like terms: x + -1x = 0
-18 + 3x = -3 + 0
-18 + 3x = -3

Add '18' to each side of the equation.
-18 + 18 + 3x = -3 + 18

Combine like terms: -18 + 18 = 0
0 + 3x = -3 + 18
3x = -3 + 18

Combine like terms: -3 + 18 = 15
3x = 15

Divide each side by '3'.
x = 5

Simplifying
x = 5

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