154=2(x+x+1)+3(x+2+x+3)

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Solution for 154=2(x+x+1)+3(x+2+x+3) equation:


Simplifying
154 = 2(x + x + 1) + 3(x + 2 + x + 3)

Reorder the terms:
154 = 2(1 + x + x) + 3(x + 2 + x + 3)

Combine like terms: x + x = 2x
154 = 2(1 + 2x) + 3(x + 2 + x + 3)
154 = (1 * 2 + 2x * 2) + 3(x + 2 + x + 3)
154 = (2 + 4x) + 3(x + 2 + x + 3)

Reorder the terms:
154 = 2 + 4x + 3(2 + 3 + x + x)

Combine like terms: 2 + 3 = 5
154 = 2 + 4x + 3(5 + x + x)

Combine like terms: x + x = 2x
154 = 2 + 4x + 3(5 + 2x)
154 = 2 + 4x + (5 * 3 + 2x * 3)
154 = 2 + 4x + (15 + 6x)

Reorder the terms:
154 = 2 + 15 + 4x + 6x

Combine like terms: 2 + 15 = 17
154 = 17 + 4x + 6x

Combine like terms: 4x + 6x = 10x
154 = 17 + 10x

Solving
154 = 17 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
154 + -10x = 17 + 10x + -10x

Combine like terms: 10x + -10x = 0
154 + -10x = 17 + 0
154 + -10x = 17

Add '-154' to each side of the equation.
154 + -154 + -10x = 17 + -154

Combine like terms: 154 + -154 = 0
0 + -10x = 17 + -154
-10x = 17 + -154

Combine like terms: 17 + -154 = -137
-10x = -137

Divide each side by '-10'.
x = 13.7

Simplifying
x = 13.7

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