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

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


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

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

Reorder the terms:
19 = 4 + 7x + -4x

Combine like terms: 7x + -4x = 3x
19 = 4 + 3x

Solving
19 = 4 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
19 + -3x = 4 + 3x + -3x

Combine like terms: 3x + -3x = 0
19 + -3x = 4 + 0
19 + -3x = 4

Add '-19' to each side of the equation.
19 + -19 + -3x = 4 + -19

Combine like terms: 19 + -19 = 0
0 + -3x = 4 + -19
-3x = 4 + -19

Combine like terms: 4 + -19 = -15
-3x = -15

Divide each side by '-3'.
x = 5

Simplifying
x = 5

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