5(x-8)-4(x+7)=-1

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Solution for 5(x-8)-4(x+7)=-1 equation:


Simplifying
5(x + -8) + -4(x + 7) = -1

Reorder the terms:
5(-8 + x) + -4(x + 7) = -1
(-8 * 5 + x * 5) + -4(x + 7) = -1
(-40 + 5x) + -4(x + 7) = -1

Reorder the terms:
-40 + 5x + -4(7 + x) = -1
-40 + 5x + (7 * -4 + x * -4) = -1
-40 + 5x + (-28 + -4x) = -1

Reorder the terms:
-40 + -28 + 5x + -4x = -1

Combine like terms: -40 + -28 = -68
-68 + 5x + -4x = -1

Combine like terms: 5x + -4x = 1x
-68 + 1x = -1

Solving
-68 + 1x = -1

Solving for variable 'x'.

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

Add '68' to each side of the equation.
-68 + 68 + 1x = -1 + 68

Combine like terms: -68 + 68 = 0
0 + 1x = -1 + 68
1x = -1 + 68

Combine like terms: -1 + 68 = 67
1x = 67

Divide each side by '1'.
x = 67

Simplifying
x = 67

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