5(2x-3)-6(x+8)=-5

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Solution for 5(2x-3)-6(x+8)=-5 equation:


Simplifying
5(2x + -3) + -6(x + 8) = -5

Reorder the terms:
5(-3 + 2x) + -6(x + 8) = -5
(-3 * 5 + 2x * 5) + -6(x + 8) = -5
(-15 + 10x) + -6(x + 8) = -5

Reorder the terms:
-15 + 10x + -6(8 + x) = -5
-15 + 10x + (8 * -6 + x * -6) = -5
-15 + 10x + (-48 + -6x) = -5

Reorder the terms:
-15 + -48 + 10x + -6x = -5

Combine like terms: -15 + -48 = -63
-63 + 10x + -6x = -5

Combine like terms: 10x + -6x = 4x
-63 + 4x = -5

Solving
-63 + 4x = -5

Solving for variable 'x'.

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

Add '63' to each side of the equation.
-63 + 63 + 4x = -5 + 63

Combine like terms: -63 + 63 = 0
0 + 4x = -5 + 63
4x = -5 + 63

Combine like terms: -5 + 63 = 58
4x = 58

Divide each side by '4'.
x = 14.5

Simplifying
x = 14.5

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