(3+x)+(3*4)=(2*2x)+(2*4)+(2+x)+(2x-1)

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Solution for (3+x)+(3*4)=(2*2x)+(2*4)+(2+x)+(2x-1) equation:


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

Remove parenthesis around (3 + x)
3 + x + (3 * 4) = (2 * 2x) + (2 * 4) + (2 + x) + (2x + -1)

Multiply 3 * 4
3 + x + (12) = (2 * 2x) + (2 * 4) + (2 + x) + (2x + -1)
3 + x + 12 = (2 * 2x) + (2 * 4) + (2 + x) + (2x + -1)

Reorder the terms:
3 + 12 + x = (2 * 2x) + (2 * 4) + (2 + x) + (2x + -1)

Combine like terms: 3 + 12 = 15
15 + x = (2 * 2x) + (2 * 4) + (2 + x) + (2x + -1)

Multiply 2 * 2
15 + x = (4x) + (2 * 4) + (2 + x) + (2x + -1)

Multiply 2 * 4
15 + x = (4x) + (8) + (2 + x) + (2x + -1)
15 + x = (4x) + 8 + (2 + x) + (2x + -1)

Remove parenthesis around (2 + x)
15 + x = (4x) + 8 + 2 + x + (2x + -1)

Reorder the terms:
15 + x = (4x) + 8 + 2 + x + (-1 + 2x)

Remove parenthesis around (-1 + 2x)
15 + x = (4x) + 8 + 2 + x + -1 + 2x

Reorder the terms:
15 + x = 8 + 2 + -1 + (4x) + x + 2x

Combine like terms: 8 + 2 = 10
15 + x = 10 + -1 + (4x) + x + 2x

Combine like terms: 10 + -1 = 9
15 + x = 9 + (4x) + x + 2x

Combine like terms: (4x) + x = 5x
15 + x = 9 + 5x + 2x

Combine like terms: 5x + 2x = 7x
15 + x = 9 + 7x

Solving
15 + x = 9 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
15 + x + -7x = 9 + 7x + -7x

Combine like terms: x + -7x = -6x
15 + -6x = 9 + 7x + -7x

Combine like terms: 7x + -7x = 0
15 + -6x = 9 + 0
15 + -6x = 9

Add '-15' to each side of the equation.
15 + -15 + -6x = 9 + -15

Combine like terms: 15 + -15 = 0
0 + -6x = 9 + -15
-6x = 9 + -15

Combine like terms: 9 + -15 = -6
-6x = -6

Divide each side by '-6'.
x = 1

Simplifying
x = 1

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