3(x-5)-(x+7)=6(x-2)

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Solution for 3(x-5)-(x+7)=6(x-2) equation:


Simplifying
3(x + -5) + -1(x + 7) = 6(x + -2)

Reorder the terms:
3(-5 + x) + -1(x + 7) = 6(x + -2)
(-5 * 3 + x * 3) + -1(x + 7) = 6(x + -2)
(-15 + 3x) + -1(x + 7) = 6(x + -2)

Reorder the terms:
-15 + 3x + -1(7 + x) = 6(x + -2)
-15 + 3x + (7 * -1 + x * -1) = 6(x + -2)
-15 + 3x + (-7 + -1x) = 6(x + -2)

Reorder the terms:
-15 + -7 + 3x + -1x = 6(x + -2)

Combine like terms: -15 + -7 = -22
-22 + 3x + -1x = 6(x + -2)

Combine like terms: 3x + -1x = 2x
-22 + 2x = 6(x + -2)

Reorder the terms:
-22 + 2x = 6(-2 + x)
-22 + 2x = (-2 * 6 + x * 6)
-22 + 2x = (-12 + 6x)

Solving
-22 + 2x = -12 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-22 + 2x + -6x = -12 + 6x + -6x

Combine like terms: 2x + -6x = -4x
-22 + -4x = -12 + 6x + -6x

Combine like terms: 6x + -6x = 0
-22 + -4x = -12 + 0
-22 + -4x = -12

Add '22' to each side of the equation.
-22 + 22 + -4x = -12 + 22

Combine like terms: -22 + 22 = 0
0 + -4x = -12 + 22
-4x = -12 + 22

Combine like terms: -12 + 22 = 10
-4x = 10

Divide each side by '-4'.
x = -2.5

Simplifying
x = -2.5

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