-6(x+3)-3x=-(7x-10)

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Solution for -6(x+3)-3x=-(7x-10) equation:


Simplifying
-6(x + 3) + -3x = -1(7x + -10)

Reorder the terms:
-6(3 + x) + -3x = -1(7x + -10)
(3 * -6 + x * -6) + -3x = -1(7x + -10)
(-18 + -6x) + -3x = -1(7x + -10)

Combine like terms: -6x + -3x = -9x
-18 + -9x = -1(7x + -10)

Reorder the terms:
-18 + -9x = -1(-10 + 7x)
-18 + -9x = (-10 * -1 + 7x * -1)
-18 + -9x = (10 + -7x)

Solving
-18 + -9x = 10 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-18 + -9x + 7x = 10 + -7x + 7x

Combine like terms: -9x + 7x = -2x
-18 + -2x = 10 + -7x + 7x

Combine like terms: -7x + 7x = 0
-18 + -2x = 10 + 0
-18 + -2x = 10

Add '18' to each side of the equation.
-18 + 18 + -2x = 10 + 18

Combine like terms: -18 + 18 = 0
0 + -2x = 10 + 18
-2x = 10 + 18

Combine like terms: 10 + 18 = 28
-2x = 28

Divide each side by '-2'.
x = -14

Simplifying
x = -14

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