2(x+5)+4x-19=2x+7-2(3-x)

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Solution for 2(x+5)+4x-19=2x+7-2(3-x) equation:


Simplifying
2(x + 5) + 4x + -19 = 2x + 7 + -2(3 + -1x)

Reorder the terms:
2(5 + x) + 4x + -19 = 2x + 7 + -2(3 + -1x)
(5 * 2 + x * 2) + 4x + -19 = 2x + 7 + -2(3 + -1x)
(10 + 2x) + 4x + -19 = 2x + 7 + -2(3 + -1x)

Reorder the terms:
10 + -19 + 2x + 4x = 2x + 7 + -2(3 + -1x)

Combine like terms: 10 + -19 = -9
-9 + 2x + 4x = 2x + 7 + -2(3 + -1x)

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

Reorder the terms:
-9 + 6x = 7 + -6 + 2x + 2x

Combine like terms: 7 + -6 = 1
-9 + 6x = 1 + 2x + 2x

Combine like terms: 2x + 2x = 4x
-9 + 6x = 1 + 4x

Solving
-9 + 6x = 1 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-9 + 6x + -4x = 1 + 4x + -4x

Combine like terms: 6x + -4x = 2x
-9 + 2x = 1 + 4x + -4x

Combine like terms: 4x + -4x = 0
-9 + 2x = 1 + 0
-9 + 2x = 1

Add '9' to each side of the equation.
-9 + 9 + 2x = 1 + 9

Combine like terms: -9 + 9 = 0
0 + 2x = 1 + 9
2x = 1 + 9

Combine like terms: 1 + 9 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5

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