(6x*2+3x+1)-(6x*2+3)=7x+15

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Solution for (6x*2+3x+1)-(6x*2+3)=7x+15 equation:


Simplifying
(6x * 2 + 3x + 1) + -1(6x * 2 + 3) = 7x + 15

Reorder the terms for easier multiplication:
(6 * 2x + 3x + 1) + -1(6x * 2 + 3) = 7x + 15

Multiply 6 * 2
(12x + 3x + 1) + -1(6x * 2 + 3) = 7x + 15

Reorder the terms:
(1 + 12x + 3x) + -1(6x * 2 + 3) = 7x + 15

Combine like terms: 12x + 3x = 15x
(1 + 15x) + -1(6x * 2 + 3) = 7x + 15

Remove parenthesis around (1 + 15x)
1 + 15x + -1(6x * 2 + 3) = 7x + 15

Reorder the terms for easier multiplication:
1 + 15x + -1(6 * 2x + 3) = 7x + 15

Multiply 6 * 2
1 + 15x + -1(12x + 3) = 7x + 15

Reorder the terms:
1 + 15x + -1(3 + 12x) = 7x + 15
1 + 15x + (3 * -1 + 12x * -1) = 7x + 15
1 + 15x + (-3 + -12x) = 7x + 15

Reorder the terms:
1 + -3 + 15x + -12x = 7x + 15

Combine like terms: 1 + -3 = -2
-2 + 15x + -12x = 7x + 15

Combine like terms: 15x + -12x = 3x
-2 + 3x = 7x + 15

Reorder the terms:
-2 + 3x = 15 + 7x

Solving
-2 + 3x = 15 + 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.
-2 + 3x + -7x = 15 + 7x + -7x

Combine like terms: 3x + -7x = -4x
-2 + -4x = 15 + 7x + -7x

Combine like terms: 7x + -7x = 0
-2 + -4x = 15 + 0
-2 + -4x = 15

Add '2' to each side of the equation.
-2 + 2 + -4x = 15 + 2

Combine like terms: -2 + 2 = 0
0 + -4x = 15 + 2
-4x = 15 + 2

Combine like terms: 15 + 2 = 17
-4x = 17

Divide each side by '-4'.
x = -4.25

Simplifying
x = -4.25

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