6(x-5)-4(x+3)=-1

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Solution for 6(x-5)-4(x+3)=-1 equation:


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

Reorder the terms:
6(-5 + x) + -4(x + 3) = -1
(-5 * 6 + x * 6) + -4(x + 3) = -1
(-30 + 6x) + -4(x + 3) = -1

Reorder the terms:
-30 + 6x + -4(3 + x) = -1
-30 + 6x + (3 * -4 + x * -4) = -1
-30 + 6x + (-12 + -4x) = -1

Reorder the terms:
-30 + -12 + 6x + -4x = -1

Combine like terms: -30 + -12 = -42
-42 + 6x + -4x = -1

Combine like terms: 6x + -4x = 2x
-42 + 2x = -1

Solving
-42 + 2x = -1

Solving for variable 'x'.

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

Add '42' to each side of the equation.
-42 + 42 + 2x = -1 + 42

Combine like terms: -42 + 42 = 0
0 + 2x = -1 + 42
2x = -1 + 42

Combine like terms: -1 + 42 = 41
2x = 41

Divide each side by '2'.
x = 20.5

Simplifying
x = 20.5

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