(3x*2+5x+1)-(3x*2+4)=7x+10

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Solution for (3x*2+5x+1)-(3x*2+4)=7x+10 equation:


Simplifying
(3x * 2 + 5x + 1) + -1(3x * 2 + 4) = 7x + 10

Reorder the terms for easier multiplication:
(3 * 2x + 5x + 1) + -1(3x * 2 + 4) = 7x + 10

Multiply 3 * 2
(6x + 5x + 1) + -1(3x * 2 + 4) = 7x + 10

Reorder the terms:
(1 + 6x + 5x) + -1(3x * 2 + 4) = 7x + 10

Combine like terms: 6x + 5x = 11x
(1 + 11x) + -1(3x * 2 + 4) = 7x + 10

Remove parenthesis around (1 + 11x)
1 + 11x + -1(3x * 2 + 4) = 7x + 10

Reorder the terms for easier multiplication:
1 + 11x + -1(3 * 2x + 4) = 7x + 10

Multiply 3 * 2
1 + 11x + -1(6x + 4) = 7x + 10

Reorder the terms:
1 + 11x + -1(4 + 6x) = 7x + 10
1 + 11x + (4 * -1 + 6x * -1) = 7x + 10
1 + 11x + (-4 + -6x) = 7x + 10

Reorder the terms:
1 + -4 + 11x + -6x = 7x + 10

Combine like terms: 1 + -4 = -3
-3 + 11x + -6x = 7x + 10

Combine like terms: 11x + -6x = 5x
-3 + 5x = 7x + 10

Reorder the terms:
-3 + 5x = 10 + 7x

Solving
-3 + 5x = 10 + 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.
-3 + 5x + -7x = 10 + 7x + -7x

Combine like terms: 5x + -7x = -2x
-3 + -2x = 10 + 7x + -7x

Combine like terms: 7x + -7x = 0
-3 + -2x = 10 + 0
-3 + -2x = 10

Add '3' to each side of the equation.
-3 + 3 + -2x = 10 + 3

Combine like terms: -3 + 3 = 0
0 + -2x = 10 + 3
-2x = 10 + 3

Combine like terms: 10 + 3 = 13
-2x = 13

Divide each side by '-2'.
x = -6.5

Simplifying
x = -6.5

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