2(7x+5-3x)+4(2x-2)=50

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Solution for 2(7x+5-3x)+4(2x-2)=50 equation: 


Simplifying
2(7x + 5 + -3x) + 4(2x + -2) = 50

Reorder the terms:
2(5 + 7x + -3x) + 4(2x + -2) = 50

Combine like terms: 7x + -3x = 4x
2(5 + 4x) + 4(2x + -2) = 50
(5 * 2 + 4x * 2) + 4(2x + -2) = 50
(10 + 8x) + 4(2x + -2) = 50

Reorder the terms:
10 + 8x + 4(-2 + 2x) = 50
10 + 8x + (-2 * 4 + 2x * 4) = 50
10 + 8x + (-8 + 8x) = 50

Reorder the terms:
10 + -8 + 8x + 8x = 50

Combine like terms: 10 + -8 = 2
2 + 8x + 8x = 50

Combine like terms: 8x + 8x = 16x
2 + 16x = 50

Solving
2 + 16x = 50

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + 16x = 50 + -2

Combine like terms: 2 + -2 = 0
0 + 16x = 50 + -2
16x = 50 + -2

Combine like terms: 50 + -2 = 48
16x = 48

Divide each side by '16'.
x = 3

Simplifying
x = 3

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