5-[7x-13]+4x-5=x-3

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Solution for 5-[7x-13]+4x-5=x-3 equation:


Simplifying
5 + -1[7x + -13] + 4x + -5 = x + -3

Reorder the terms:
5 + -1[-13 + 7x] + 4x + -5 = x + -3
5 + [-13 * -1 + 7x * -1] + 4x + -5 = x + -3
5 + [13 + -7x] + 4x + -5 = x + -3

Reorder the terms:
5 + 13 + -5 + -7x + 4x = x + -3

Combine like terms: 5 + 13 = 18
18 + -5 + -7x + 4x = x + -3

Combine like terms: 18 + -5 = 13
13 + -7x + 4x = x + -3

Combine like terms: -7x + 4x = -3x
13 + -3x = x + -3

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

Solving
13 + -3x = -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.
13 + -3x + -1x = -3 + x + -1x

Combine like terms: -3x + -1x = -4x
13 + -4x = -3 + x + -1x

Combine like terms: x + -1x = 0
13 + -4x = -3 + 0
13 + -4x = -3

Add '-13' to each side of the equation.
13 + -13 + -4x = -3 + -13

Combine like terms: 13 + -13 = 0
0 + -4x = -3 + -13
-4x = -3 + -13

Combine like terms: -3 + -13 = -16
-4x = -16

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

Simplifying
x = 4

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