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

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


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

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

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

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

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

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

Combine like terms: 3x + 3x = 6x
-3 + 6x = 21 + -3x + 3x

Combine like terms: -3x + 3x = 0
-3 + 6x = 21 + 0
-3 + 6x = 21

Add '3' to each side of the equation.
-3 + 3 + 6x = 21 + 3

Combine like terms: -3 + 3 = 0
0 + 6x = 21 + 3
6x = 21 + 3

Combine like terms: 21 + 3 = 24
6x = 24

Divide each side by '6'.
x = 4

Simplifying
x = 4

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