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

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Solution for 3(2x+1)+5(2-x)=4 equation:


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

Reorder the terms:
3(1 + 2x) + 5(2 + -1x) = 4
(1 * 3 + 2x * 3) + 5(2 + -1x) = 4
(3 + 6x) + 5(2 + -1x) = 4
3 + 6x + (2 * 5 + -1x * 5) = 4
3 + 6x + (10 + -5x) = 4

Reorder the terms:
3 + 10 + 6x + -5x = 4

Combine like terms: 3 + 10 = 13
13 + 6x + -5x = 4

Combine like terms: 6x + -5x = 1x
13 + 1x = 4

Solving
13 + 1x = 4

Solving for variable 'x'.

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

Add '-13' to each side of the equation.
13 + -13 + 1x = 4 + -13

Combine like terms: 13 + -13 = 0
0 + 1x = 4 + -13
1x = 4 + -13

Combine like terms: 4 + -13 = -9
1x = -9

Divide each side by '1'.
x = -9

Simplifying
x = -9

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