13-42=4(x-2)-5

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Solution for 13-42=4(x-2)-5 equation:


Simplifying
13 + -42 = 4(x + -2) + -5

Combine like terms: 13 + -42 = -29
-29 = 4(x + -2) + -5

Reorder the terms:
-29 = 4(-2 + x) + -5
-29 = (-2 * 4 + x * 4) + -5
-29 = (-8 + 4x) + -5

Reorder the terms:
-29 = -8 + -5 + 4x

Combine like terms: -8 + -5 = -13
-29 = -13 + 4x

Solving
-29 = -13 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-29 + -4x = -13 + 4x + -4x

Combine like terms: 4x + -4x = 0
-29 + -4x = -13 + 0
-29 + -4x = -13

Add '29' to each side of the equation.
-29 + 29 + -4x = -13 + 29

Combine like terms: -29 + 29 = 0
0 + -4x = -13 + 29
-4x = -13 + 29

Combine like terms: -13 + 29 = 16
-4x = 16

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

Simplifying
x = -4

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