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

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


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

Reorder the terms:
x + -3(-7 + x) = 4(x + -7) + -2x
x + (-7 * -3 + x * -3) = 4(x + -7) + -2x
x + (21 + -3x) = 4(x + -7) + -2x

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

Combine like terms: x + -3x = -2x
21 + -2x = 4(x + -7) + -2x

Reorder the terms:
21 + -2x = 4(-7 + x) + -2x
21 + -2x = (-7 * 4 + x * 4) + -2x
21 + -2x = (-28 + 4x) + -2x

Combine like terms: 4x + -2x = 2x
21 + -2x = -28 + 2x

Solving
21 + -2x = -28 + 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.
21 + -2x + -2x = -28 + 2x + -2x

Combine like terms: -2x + -2x = -4x
21 + -4x = -28 + 2x + -2x

Combine like terms: 2x + -2x = 0
21 + -4x = -28 + 0
21 + -4x = -28

Add '-21' to each side of the equation.
21 + -21 + -4x = -28 + -21

Combine like terms: 21 + -21 = 0
0 + -4x = -28 + -21
-4x = -28 + -21

Combine like terms: -28 + -21 = -49
-4x = -49

Divide each side by '-4'.
x = 12.25

Simplifying
x = 12.25

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