5(x-7)-(4x-20)=x-4

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Solution for 5(x-7)-(4x-20)=x-4 equation:


Simplifying
5(x + -7) + -1(4x + -20) = x + -4

Reorder the terms:
5(-7 + x) + -1(4x + -20) = x + -4
(-7 * 5 + x * 5) + -1(4x + -20) = x + -4
(-35 + 5x) + -1(4x + -20) = x + -4

Reorder the terms:
-35 + 5x + -1(-20 + 4x) = x + -4
-35 + 5x + (-20 * -1 + 4x * -1) = x + -4
-35 + 5x + (20 + -4x) = x + -4

Reorder the terms:
-35 + 20 + 5x + -4x = x + -4

Combine like terms: -35 + 20 = -15
-15 + 5x + -4x = x + -4

Combine like terms: 5x + -4x = 1x
-15 + 1x = x + -4

Reorder the terms:
-15 + 1x = -4 + x

Solving
-15 + 1x = -4 + 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.
-15 + 1x + -1x = -4 + x + -1x

Combine like terms: 1x + -1x = 0
-15 + 0 = -4 + x + -1x
-15 = -4 + x + -1x

Combine like terms: x + -1x = 0
-15 = -4 + 0
-15 = -4

Add '15' to each side of the equation.
-15 + 15 = -4 + 15

Combine like terms: -15 + 15 = 0
0 = -4 + 15

Combine like terms: -4 + 15 = 11
0 = 11

Simplifying
0 = 11

Combine like terms: 0 + -11 = -11
-11 = 11 + -11

Combine like terms: 11 + -11 = 0
-11 = 0

The solution to this equation could not be determined.

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