7(x+2)-3=25-(3x+4)

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Solution for 7(x+2)-3=25-(3x+4) equation:


Simplifying
7(x + 2) + -3 = 25 + -1(3x + 4)

Reorder the terms:
7(2 + x) + -3 = 25 + -1(3x + 4)
(2 * 7 + x * 7) + -3 = 25 + -1(3x + 4)
(14 + 7x) + -3 = 25 + -1(3x + 4)

Reorder the terms:
14 + -3 + 7x = 25 + -1(3x + 4)

Combine like terms: 14 + -3 = 11
11 + 7x = 25 + -1(3x + 4)

Reorder the terms:
11 + 7x = 25 + -1(4 + 3x)
11 + 7x = 25 + (4 * -1 + 3x * -1)
11 + 7x = 25 + (-4 + -3x)

Combine like terms: 25 + -4 = 21
11 + 7x = 21 + -3x

Solving
11 + 7x = 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.
11 + 7x + 3x = 21 + -3x + 3x

Combine like terms: 7x + 3x = 10x
11 + 10x = 21 + -3x + 3x

Combine like terms: -3x + 3x = 0
11 + 10x = 21 + 0
11 + 10x = 21

Add '-11' to each side of the equation.
11 + -11 + 10x = 21 + -11

Combine like terms: 11 + -11 = 0
0 + 10x = 21 + -11
10x = 21 + -11

Combine like terms: 21 + -11 = 10
10x = 10

Divide each side by '10'.
x = 1

Simplifying
x = 1

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