7x-2(3x+1)=4x-(3-x)-19

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Solution for 7x-2(3x+1)=4x-(3-x)-19 equation:


Simplifying
7x + -2(3x + 1) = 4x + -1(3 + -1x) + -19

Reorder the terms:
7x + -2(1 + 3x) = 4x + -1(3 + -1x) + -19
7x + (1 * -2 + 3x * -2) = 4x + -1(3 + -1x) + -19
7x + (-2 + -6x) = 4x + -1(3 + -1x) + -19

Reorder the terms:
-2 + 7x + -6x = 4x + -1(3 + -1x) + -19

Combine like terms: 7x + -6x = 1x
-2 + 1x = 4x + -1(3 + -1x) + -19
-2 + 1x = 4x + (3 * -1 + -1x * -1) + -19
-2 + 1x = 4x + (-3 + 1x) + -19

Reorder the terms:
-2 + 1x = -3 + -19 + 4x + 1x

Combine like terms: -3 + -19 = -22
-2 + 1x = -22 + 4x + 1x

Combine like terms: 4x + 1x = 5x
-2 + 1x = -22 + 5x

Solving
-2 + 1x = -22 + 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.
-2 + 1x + -5x = -22 + 5x + -5x

Combine like terms: 1x + -5x = -4x
-2 + -4x = -22 + 5x + -5x

Combine like terms: 5x + -5x = 0
-2 + -4x = -22 + 0
-2 + -4x = -22

Add '2' to each side of the equation.
-2 + 2 + -4x = -22 + 2

Combine like terms: -2 + 2 = 0
0 + -4x = -22 + 2
-4x = -22 + 2

Combine like terms: -22 + 2 = -20
-4x = -20

Divide each side by '-4'.
x = 5

Simplifying
x = 5

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