(6x*6x+4x+4)-(6x*6x-5)=7x-19

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Solution for (6x*6x+4x+4)-(6x*6x-5)=7x-19 equation:


Simplifying
(6x * 6x + 4x + 4) + -1(6x * 6x + -5) = 7x + -19

Reorder the terms for easier multiplication:
(6 * 6x * x + 4x + 4) + -1(6x * 6x + -5) = 7x + -19

Multiply 6 * 6
(36x * x + 4x + 4) + -1(6x * 6x + -5) = 7x + -19

Multiply x * x
(36x2 + 4x + 4) + -1(6x * 6x + -5) = 7x + -19

Reorder the terms:
(4 + 4x + 36x2) + -1(6x * 6x + -5) = 7x + -19

Remove parenthesis around (4 + 4x + 36x2)
4 + 4x + 36x2 + -1(6x * 6x + -5) = 7x + -19

Reorder the terms for easier multiplication:
4 + 4x + 36x2 + -1(6 * 6x * x + -5) = 7x + -19

Multiply 6 * 6
4 + 4x + 36x2 + -1(36x * x + -5) = 7x + -19

Multiply x * x
4 + 4x + 36x2 + -1(36x2 + -5) = 7x + -19

Reorder the terms:
4 + 4x + 36x2 + -1(-5 + 36x2) = 7x + -19
4 + 4x + 36x2 + (-5 * -1 + 36x2 * -1) = 7x + -19
4 + 4x + 36x2 + (5 + -36x2) = 7x + -19

Reorder the terms:
4 + 5 + 4x + 36x2 + -36x2 = 7x + -19

Combine like terms: 4 + 5 = 9
9 + 4x + 36x2 + -36x2 = 7x + -19

Combine like terms: 36x2 + -36x2 = 0
9 + 4x + 0 = 7x + -19
9 + 4x = 7x + -19

Reorder the terms:
9 + 4x = -19 + 7x

Solving
9 + 4x = -19 + 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.
9 + 4x + -7x = -19 + 7x + -7x

Combine like terms: 4x + -7x = -3x
9 + -3x = -19 + 7x + -7x

Combine like terms: 7x + -7x = 0
9 + -3x = -19 + 0
9 + -3x = -19

Add '-9' to each side of the equation.
9 + -9 + -3x = -19 + -9

Combine like terms: 9 + -9 = 0
0 + -3x = -19 + -9
-3x = -19 + -9

Combine like terms: -19 + -9 = -28
-3x = -28

Divide each side by '-3'.
x = 9.333333333

Simplifying
x = 9.333333333

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