(2x+3)-(6x+9)=-10

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Solution for (2x+3)-(6x+9)=-10 equation:


Simplifying
(2x + 3) + -1(6x + 9) = -10

Reorder the terms:
(3 + 2x) + -1(6x + 9) = -10

Remove parenthesis around (3 + 2x)
3 + 2x + -1(6x + 9) = -10

Reorder the terms:
3 + 2x + -1(9 + 6x) = -10
3 + 2x + (9 * -1 + 6x * -1) = -10
3 + 2x + (-9 + -6x) = -10

Reorder the terms:
3 + -9 + 2x + -6x = -10

Combine like terms: 3 + -9 = -6
-6 + 2x + -6x = -10

Combine like terms: 2x + -6x = -4x
-6 + -4x = -10

Solving
-6 + -4x = -10

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + -4x = -10 + 6

Combine like terms: -6 + 6 = 0
0 + -4x = -10 + 6
-4x = -10 + 6

Combine like terms: -10 + 6 = -4
-4x = -4

Divide each side by '-4'.
x = 1

Simplifying
x = 1

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