5(4x-7)-(3x-1)=-5

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Solution for 5(4x-7)-(3x-1)=-5 equation:


Simplifying
5(4x + -7) + -1(3x + -1) = -5

Reorder the terms:
5(-7 + 4x) + -1(3x + -1) = -5
(-7 * 5 + 4x * 5) + -1(3x + -1) = -5
(-35 + 20x) + -1(3x + -1) = -5

Reorder the terms:
-35 + 20x + -1(-1 + 3x) = -5
-35 + 20x + (-1 * -1 + 3x * -1) = -5
-35 + 20x + (1 + -3x) = -5

Reorder the terms:
-35 + 1 + 20x + -3x = -5

Combine like terms: -35 + 1 = -34
-34 + 20x + -3x = -5

Combine like terms: 20x + -3x = 17x
-34 + 17x = -5

Solving
-34 + 17x = -5

Solving for variable 'x'.

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

Add '34' to each side of the equation.
-34 + 34 + 17x = -5 + 34

Combine like terms: -34 + 34 = 0
0 + 17x = -5 + 34
17x = -5 + 34

Combine like terms: -5 + 34 = 29
17x = 29

Divide each side by '17'.
x = 1.705882353

Simplifying
x = 1.705882353

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