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 = -22
-22 + 6x + -4x = -1

Combine like terms: 6x + -4x = 2x
-22 + 2x = -1

Solving
-22 + 2x = -1

Solving for variable 'x'.

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

Add '22' to each side of the equation.
-22 + 22 + 2x = -1 + 22

Combine like terms: -22 + 22 = 0
0 + 2x = -1 + 22
2x = -1 + 22

Combine like terms: -1 + 22 = 21
2x = 21

Divide each side by '2'.
x = 10.5

Simplifying
x = 10.5

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