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

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


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

Reorder the terms:
7(-2 + x) + -3x = 4x + -1(x + -7)
(-2 * 7 + x * 7) + -3x = 4x + -1(x + -7)
(-14 + 7x) + -3x = 4x + -1(x + -7)

Combine like terms: 7x + -3x = 4x
-14 + 4x = 4x + -1(x + -7)

Reorder the terms:
-14 + 4x = 4x + -1(-7 + x)
-14 + 4x = 4x + (-7 * -1 + x * -1)
-14 + 4x = 4x + (7 + -1x)

Reorder the terms:
-14 + 4x = 7 + 4x + -1x

Combine like terms: 4x + -1x = 3x
-14 + 4x = 7 + 3x

Solving
-14 + 4x = 7 + 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.
-14 + 4x + -3x = 7 + 3x + -3x

Combine like terms: 4x + -3x = 1x
-14 + 1x = 7 + 3x + -3x

Combine like terms: 3x + -3x = 0
-14 + 1x = 7 + 0
-14 + 1x = 7

Add '14' to each side of the equation.
-14 + 14 + 1x = 7 + 14

Combine like terms: -14 + 14 = 0
0 + 1x = 7 + 14
1x = 7 + 14

Combine like terms: 7 + 14 = 21
1x = 21

Divide each side by '1'.
x = 21

Simplifying
x = 21

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