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

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


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

Reorder the terms:
7x + -2(4 + x) = 19 + 2(x + -3)
7x + (4 * -2 + x * -2) = 19 + 2(x + -3)
7x + (-8 + -2x) = 19 + 2(x + -3)

Reorder the terms:
-8 + 7x + -2x = 19 + 2(x + -3)

Combine like terms: 7x + -2x = 5x
-8 + 5x = 19 + 2(x + -3)

Reorder the terms:
-8 + 5x = 19 + 2(-3 + x)
-8 + 5x = 19 + (-3 * 2 + x * 2)
-8 + 5x = 19 + (-6 + 2x)

Combine like terms: 19 + -6 = 13
-8 + 5x = 13 + 2x

Solving
-8 + 5x = 13 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-8 + 5x + -2x = 13 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-8 + 3x = 13 + 2x + -2x

Combine like terms: 2x + -2x = 0
-8 + 3x = 13 + 0
-8 + 3x = 13

Add '8' to each side of the equation.
-8 + 8 + 3x = 13 + 8

Combine like terms: -8 + 8 = 0
0 + 3x = 13 + 8
3x = 13 + 8

Combine like terms: 13 + 8 = 21
3x = 21

Divide each side by '3'.
x = 7

Simplifying
x = 7

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