4(3x+2)+5(1-2x)=26

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Solution for 4(3x+2)+5(1-2x)=26 equation: 


Simplifying
4(3x + 2) + 5(1 + -2x) = 26

Reorder the terms:
4(2 + 3x) + 5(1 + -2x) = 26
(2 * 4 + 3x * 4) + 5(1 + -2x) = 26
(8 + 12x) + 5(1 + -2x) = 26
8 + 12x + (1 * 5 + -2x * 5) = 26
8 + 12x + (5 + -10x) = 26

Reorder the terms:
8 + 5 + 12x + -10x = 26

Combine like terms: 8 + 5 = 13
13 + 12x + -10x = 26

Combine like terms: 12x + -10x = 2x
13 + 2x = 26

Solving
13 + 2x = 26

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 + 2x = 26 + -13

Combine like terms: 13 + -13 = 0
0 + 2x = 26 + -13
2x = 26 + -13

Combine like terms: 26 + -13 = 13
2x = 13

Divide each side by '2'.
x = 6.5

Simplifying
x = 6.5

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