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

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


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

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

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

Reorder the terms:
-20 + 7 + 5x + -1x = -5

Combine like terms: -20 + 7 = -13
-13 + 5x + -1x = -5

Combine like terms: 5x + -1x = 4x
-13 + 4x = -5

Solving
-13 + 4x = -5

Solving for variable 'x'.

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

Add '13' to each side of the equation.
-13 + 13 + 4x = -5 + 13

Combine like terms: -13 + 13 = 0
0 + 4x = -5 + 13
4x = -5 + 13

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

Divide each side by '4'.
x = 2

Simplifying
x = 2

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