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

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


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

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

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

Combine like terms: 2x + 4x = 6x
4 + 6x = 5(x + 1)

Reorder the terms:
4 + 6x = 5(1 + x)
4 + 6x = (1 * 5 + x * 5)
4 + 6x = (5 + 5x)

Solving
4 + 6x = 5 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
4 + 6x + -5x = 5 + 5x + -5x

Combine like terms: 6x + -5x = 1x
4 + 1x = 5 + 5x + -5x

Combine like terms: 5x + -5x = 0
4 + 1x = 5 + 0
4 + 1x = 5

Add '-4' to each side of the equation.
4 + -4 + 1x = 5 + -4

Combine like terms: 4 + -4 = 0
0 + 1x = 5 + -4
1x = 5 + -4

Combine like terms: 5 + -4 = 1
1x = 1

Divide each side by '1'.
x = 1

Simplifying
x = 1

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