3x-7-5(2x+1)=-x+(6x+24)

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Solution for 3x-7-5(2x+1)=-x+(6x+24) equation:


Simplifying
3x + -7 + -5(2x + 1) = -1x + (6x + 24)

Reorder the terms:
3x + -7 + -5(1 + 2x) = -1x + (6x + 24)
3x + -7 + (1 * -5 + 2x * -5) = -1x + (6x + 24)
3x + -7 + (-5 + -10x) = -1x + (6x + 24)

Reorder the terms:
-7 + -5 + 3x + -10x = -1x + (6x + 24)

Combine like terms: -7 + -5 = -12
-12 + 3x + -10x = -1x + (6x + 24)

Combine like terms: 3x + -10x = -7x
-12 + -7x = -1x + (6x + 24)

Reorder the terms:
-12 + -7x = -1x + (24 + 6x)

Remove parenthesis around (24 + 6x)
-12 + -7x = -1x + 24 + 6x

Reorder the terms:
-12 + -7x = 24 + -1x + 6x

Combine like terms: -1x + 6x = 5x
-12 + -7x = 24 + 5x

Solving
-12 + -7x = 24 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-12 + -7x + -5x = 24 + 5x + -5x

Combine like terms: -7x + -5x = -12x
-12 + -12x = 24 + 5x + -5x

Combine like terms: 5x + -5x = 0
-12 + -12x = 24 + 0
-12 + -12x = 24

Add '12' to each side of the equation.
-12 + 12 + -12x = 24 + 12

Combine like terms: -12 + 12 = 0
0 + -12x = 24 + 12
-12x = 24 + 12

Combine like terms: 24 + 12 = 36
-12x = 36

Divide each side by '-12'.
x = -3

Simplifying
x = -3

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