2(5x+1)+4(6x+9)=208

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Solution for 2(5x+1)+4(6x+9)=208 equation:


Simplifying
2(5x + 1) + 4(6x + 9) = 208

Reorder the terms:
2(1 + 5x) + 4(6x + 9) = 208
(1 * 2 + 5x * 2) + 4(6x + 9) = 208
(2 + 10x) + 4(6x + 9) = 208

Reorder the terms:
2 + 10x + 4(9 + 6x) = 208
2 + 10x + (9 * 4 + 6x * 4) = 208
2 + 10x + (36 + 24x) = 208

Reorder the terms:
2 + 36 + 10x + 24x = 208

Combine like terms: 2 + 36 = 38
38 + 10x + 24x = 208

Combine like terms: 10x + 24x = 34x
38 + 34x = 208

Solving
38 + 34x = 208

Solving for variable 'x'.

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

Add '-38' to each side of the equation.
38 + -38 + 34x = 208 + -38

Combine like terms: 38 + -38 = 0
0 + 34x = 208 + -38
34x = 208 + -38

Combine like terms: 208 + -38 = 170
34x = 170

Divide each side by '34'.
x = 5

Simplifying
x = 5

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