3(x-7)-2(x-3)=-18

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Solution for 3(x-7)-2(x-3)=-18 equation:


Simplifying
3(x + -7) + -2(x + -3) = -18

Reorder the terms:
3(-7 + x) + -2(x + -3) = -18
(-7 * 3 + x * 3) + -2(x + -3) = -18
(-21 + 3x) + -2(x + -3) = -18

Reorder the terms:
-21 + 3x + -2(-3 + x) = -18
-21 + 3x + (-3 * -2 + x * -2) = -18
-21 + 3x + (6 + -2x) = -18

Reorder the terms:
-21 + 6 + 3x + -2x = -18

Combine like terms: -21 + 6 = -15
-15 + 3x + -2x = -18

Combine like terms: 3x + -2x = 1x
-15 + 1x = -18

Solving
-15 + 1x = -18

Solving for variable 'x'.

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

Add '15' to each side of the equation.
-15 + 15 + 1x = -18 + 15

Combine like terms: -15 + 15 = 0
0 + 1x = -18 + 15
1x = -18 + 15

Combine like terms: -18 + 15 = -3
1x = -3

Divide each side by '1'.
x = -3

Simplifying
x = -3

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