6(x-3)-4(x+2)=-1

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Solution for 6(x-3)-4(x+2)=-1 equation: 


Simplifying
6(x + -3) + -4(x + 2) = -1

Reorder the terms:
6(-3 + x) + -4(x + 2) = -1
(-3 * 6 + x * 6) + -4(x + 2) = -1
(-18 + 6x) + -4(x + 2) = -1

Reorder the terms:
-18 + 6x + -4(2 + x) = -1
-18 + 6x + (2 * -4 + x * -4) = -1
-18 + 6x + (-8 + -4x) = -1

Reorder the terms:
-18 + -8 + 6x + -4x = -1

Combine like terms: -18 + -8 = -26
-26 + 6x + -4x = -1

Combine like terms: 6x + -4x = 2x
-26 + 2x = -1

Solving
-26 + 2x = -1

Solving for variable 'x'.

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

Add '26' to each side of the equation.
-26 + 26 + 2x = -1 + 26

Combine like terms: -26 + 26 = 0
0 + 2x = -1 + 26
2x = -1 + 26

Combine like terms: -1 + 26 = 25
2x = 25

Divide each side by '2'.
x = 12.5

Simplifying
x = 12.5

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