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

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Solution for 3-(x-7)=3(2x+1) equation:


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

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

Combine like terms: 3 + 7 = 10
10 + -1x = 3(2x + 1)

Reorder the terms:
10 + -1x = 3(1 + 2x)
10 + -1x = (1 * 3 + 2x * 3)
10 + -1x = (3 + 6x)

Solving
10 + -1x = 3 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
10 + -1x + -6x = 3 + 6x + -6x

Combine like terms: -1x + -6x = -7x
10 + -7x = 3 + 6x + -6x

Combine like terms: 6x + -6x = 0
10 + -7x = 3 + 0
10 + -7x = 3

Add '-10' to each side of the equation.
10 + -10 + -7x = 3 + -10

Combine like terms: 10 + -10 = 0
0 + -7x = 3 + -10
-7x = 3 + -10

Combine like terms: 3 + -10 = -7
-7x = -7

Divide each side by '-7'.
x = 1

Simplifying
x = 1

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