226=2(4x+3)+2(5x+2)

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Solution for 226=2(4x+3)+2(5x+2) equation:


Simplifying
226 = 2(4x + 3) + 2(5x + 2)

Reorder the terms:
226 = 2(3 + 4x) + 2(5x + 2)
226 = (3 * 2 + 4x * 2) + 2(5x + 2)
226 = (6 + 8x) + 2(5x + 2)

Reorder the terms:
226 = 6 + 8x + 2(2 + 5x)
226 = 6 + 8x + (2 * 2 + 5x * 2)
226 = 6 + 8x + (4 + 10x)

Reorder the terms:
226 = 6 + 4 + 8x + 10x

Combine like terms: 6 + 4 = 10
226 = 10 + 8x + 10x

Combine like terms: 8x + 10x = 18x
226 = 10 + 18x

Solving
226 = 10 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
226 + -18x = 10 + 18x + -18x

Combine like terms: 18x + -18x = 0
226 + -18x = 10 + 0
226 + -18x = 10

Add '-226' to each side of the equation.
226 + -226 + -18x = 10 + -226

Combine like terms: 226 + -226 = 0
0 + -18x = 10 + -226
-18x = 10 + -226

Combine like terms: 10 + -226 = -216
-18x = -216

Divide each side by '-18'.
x = 12

Simplifying
x = 12

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