2(3x+1)-5(3x+4)=-7x-21

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Solution for 2(3x+1)-5(3x+4)=-7x-21 equation:


Simplifying
2(3x + 1) + -5(3x + 4) = -7x + -21

Reorder the terms:
2(1 + 3x) + -5(3x + 4) = -7x + -21
(1 * 2 + 3x * 2) + -5(3x + 4) = -7x + -21
(2 + 6x) + -5(3x + 4) = -7x + -21

Reorder the terms:
2 + 6x + -5(4 + 3x) = -7x + -21
2 + 6x + (4 * -5 + 3x * -5) = -7x + -21
2 + 6x + (-20 + -15x) = -7x + -21

Reorder the terms:
2 + -20 + 6x + -15x = -7x + -21

Combine like terms: 2 + -20 = -18
-18 + 6x + -15x = -7x + -21

Combine like terms: 6x + -15x = -9x
-18 + -9x = -7x + -21

Reorder the terms:
-18 + -9x = -21 + -7x

Solving
-18 + -9x = -21 + -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.
-18 + -9x + 7x = -21 + -7x + 7x

Combine like terms: -9x + 7x = -2x
-18 + -2x = -21 + -7x + 7x

Combine like terms: -7x + 7x = 0
-18 + -2x = -21 + 0
-18 + -2x = -21

Add '18' to each side of the equation.
-18 + 18 + -2x = -21 + 18

Combine like terms: -18 + 18 = 0
0 + -2x = -21 + 18
-2x = -21 + 18

Combine like terms: -21 + 18 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5

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