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

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


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

Reorder the terms:
-3(3 + 2x) + 4(3x + 1) = 7
(3 * -3 + 2x * -3) + 4(3x + 1) = 7
(-9 + -6x) + 4(3x + 1) = 7

Reorder the terms:
-9 + -6x + 4(1 + 3x) = 7
-9 + -6x + (1 * 4 + 3x * 4) = 7
-9 + -6x + (4 + 12x) = 7

Reorder the terms:
-9 + 4 + -6x + 12x = 7

Combine like terms: -9 + 4 = -5
-5 + -6x + 12x = 7

Combine like terms: -6x + 12x = 6x
-5 + 6x = 7

Solving
-5 + 6x = 7

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + 6x = 7 + 5

Combine like terms: -5 + 5 = 0
0 + 6x = 7 + 5
6x = 7 + 5

Combine like terms: 7 + 5 = 12
6x = 12

Divide each side by '6'.
x = 2

Simplifying
x = 2

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