6(x-5)-4(x+2)=-1

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Solution for 6(x-5)-4(x+2)=-1 equation:


Simplifying
6(x + -5) + -4(x + 2) = -1

Reorder the terms:
6(-5 + x) + -4(x + 2) = -1
(-5 * 6 + x * 6) + -4(x + 2) = -1
(-30 + 6x) + -4(x + 2) = -1

Reorder the terms:
-30 + 6x + -4(2 + x) = -1
-30 + 6x + (2 * -4 + x * -4) = -1
-30 + 6x + (-8 + -4x) = -1

Reorder the terms:
-30 + -8 + 6x + -4x = -1

Combine like terms: -30 + -8 = -38
-38 + 6x + -4x = -1

Combine like terms: 6x + -4x = 2x
-38 + 2x = -1

Solving
-38 + 2x = -1

Solving for variable 'x'.

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

Add '38' to each side of the equation.
-38 + 38 + 2x = -1 + 38

Combine like terms: -38 + 38 = 0
0 + 2x = -1 + 38
2x = -1 + 38

Combine like terms: -1 + 38 = 37
2x = 37

Divide each side by '2'.
x = 18.5

Simplifying
x = 18.5

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