5+2(x+1)=10+4(x+2)

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Solution for 5+2(x+1)=10+4(x+2) equation:


Simplifying
5 + 2(x + 1) = 10 + 4(x + 2)

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

Combine like terms: 5 + 2 = 7
7 + 2x = 10 + 4(x + 2)

Reorder the terms:
7 + 2x = 10 + 4(2 + x)
7 + 2x = 10 + (2 * 4 + x * 4)
7 + 2x = 10 + (8 + 4x)

Combine like terms: 10 + 8 = 18
7 + 2x = 18 + 4x

Solving
7 + 2x = 18 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
7 + 2x + -4x = 18 + 4x + -4x

Combine like terms: 2x + -4x = -2x
7 + -2x = 18 + 4x + -4x

Combine like terms: 4x + -4x = 0
7 + -2x = 18 + 0
7 + -2x = 18

Add '-7' to each side of the equation.
7 + -7 + -2x = 18 + -7

Combine like terms: 7 + -7 = 0
0 + -2x = 18 + -7
-2x = 18 + -7

Combine like terms: 18 + -7 = 11
-2x = 11

Divide each side by '-2'.
x = -5.5

Simplifying
x = -5.5

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