1=7x-3(3x-7)

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Solution for 1=7x-3(3x-7) equation:


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

Reorder the terms:
1 = 7x + -3(-7 + 3x)
1 = 7x + (-7 * -3 + 3x * -3)
1 = 7x + (21 + -9x)

Reorder the terms:
1 = 21 + 7x + -9x

Combine like terms: 7x + -9x = -2x
1 = 21 + -2x

Solving
1 = 21 + -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.
1 + 2x = 21 + -2x + 2x

Combine like terms: -2x + 2x = 0
1 + 2x = 21 + 0
1 + 2x = 21

Add '-1' to each side of the equation.
1 + -1 + 2x = 21 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = 21 + -1
2x = 21 + -1

Combine like terms: 21 + -1 = 20
2x = 20

Divide each side by '2'.
x = 10

Simplifying
x = 10

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