2x+4-x-7=3(x-7)

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Solution for 2x+4-x-7=3(x-7) equation:


Simplifying
2x + 4 + -1x + -7 = 3(x + -7)

Reorder the terms:
4 + -7 + 2x + -1x = 3(x + -7)

Combine like terms: 4 + -7 = -3
-3 + 2x + -1x = 3(x + -7)

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

Reorder the terms:
-3 + 1x = 3(-7 + x)
-3 + 1x = (-7 * 3 + x * 3)
-3 + 1x = (-21 + 3x)

Solving
-3 + 1x = -21 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-3 + 1x + -3x = -21 + 3x + -3x

Combine like terms: 1x + -3x = -2x
-3 + -2x = -21 + 3x + -3x

Combine like terms: 3x + -3x = 0
-3 + -2x = -21 + 0
-3 + -2x = -21

Add '3' to each side of the equation.
-3 + 3 + -2x = -21 + 3

Combine like terms: -3 + 3 = 0
0 + -2x = -21 + 3
-2x = -21 + 3

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

Divide each side by '-2'.
x = 9

Simplifying
x = 9

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