5(x+10)+3(-x+2)=4

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Solution for 5(x+10)+3(-x+2)=4 equation:


Simplifying
5(x + 10) + 3(-1x + 2) = 4

Reorder the terms:
5(10 + x) + 3(-1x + 2) = 4
(10 * 5 + x * 5) + 3(-1x + 2) = 4
(50 + 5x) + 3(-1x + 2) = 4

Reorder the terms:
50 + 5x + 3(2 + -1x) = 4
50 + 5x + (2 * 3 + -1x * 3) = 4
50 + 5x + (6 + -3x) = 4

Reorder the terms:
50 + 6 + 5x + -3x = 4

Combine like terms: 50 + 6 = 56
56 + 5x + -3x = 4

Combine like terms: 5x + -3x = 2x
56 + 2x = 4

Solving
56 + 2x = 4

Solving for variable 'x'.

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

Add '-56' to each side of the equation.
56 + -56 + 2x = 4 + -56

Combine like terms: 56 + -56 = 0
0 + 2x = 4 + -56
2x = 4 + -56

Combine like terms: 4 + -56 = -52
2x = -52

Divide each side by '2'.
x = -26

Simplifying
x = -26

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