2(3x+1)-(5x+3)=-4

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


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

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

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

Reorder the terms:
2 + -3 + 6x + -5x = -4

Combine like terms: 2 + -3 = -1
-1 + 6x + -5x = -4

Combine like terms: 6x + -5x = 1x
-1 + 1x = -4

Solving
-1 + 1x = -4

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + 1x = -4 + 1

Combine like terms: -1 + 1 = 0
0 + 1x = -4 + 1
1x = -4 + 1

Combine like terms: -4 + 1 = -3
1x = -3

Divide each side by '1'.
x = -3

Simplifying
x = -3

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