3x-7=2(x-3)-10

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Solution for 3x-7=2(x-3)-10 equation:


Simplifying
3x + -7 = 2(x + -3) + -10

Reorder the terms:
-7 + 3x = 2(x + -3) + -10

Reorder the terms:
-7 + 3x = 2(-3 + x) + -10
-7 + 3x = (-3 * 2 + x * 2) + -10
-7 + 3x = (-6 + 2x) + -10

Reorder the terms:
-7 + 3x = -6 + -10 + 2x

Combine like terms: -6 + -10 = -16
-7 + 3x = -16 + 2x

Solving
-7 + 3x = -16 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-7 + 3x + -2x = -16 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-7 + 1x = -16 + 2x + -2x

Combine like terms: 2x + -2x = 0
-7 + 1x = -16 + 0
-7 + 1x = -16

Add '7' to each side of the equation.
-7 + 7 + 1x = -16 + 7

Combine like terms: -7 + 7 = 0
0 + 1x = -16 + 7
1x = -16 + 7

Combine like terms: -16 + 7 = -9
1x = -9

Divide each side by '1'.
x = -9

Simplifying
x = -9

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