5(x+1)=4x+7

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Solution for 5(x+1)=4x+7 equation:


Simplifying
5(x + 1) = 4x + 7

Reorder the terms:
5(1 + x) = 4x + 7
(1 * 5 + x * 5) = 4x + 7
(5 + 5x) = 4x + 7

Reorder the terms:
5 + 5x = 7 + 4x

Solving
5 + 5x = 7 + 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.
5 + 5x + -4x = 7 + 4x + -4x

Combine like terms: 5x + -4x = 1x
5 + 1x = 7 + 4x + -4x

Combine like terms: 4x + -4x = 0
5 + 1x = 7 + 0
5 + 1x = 7

Add '-5' to each side of the equation.
5 + -5 + 1x = 7 + -5

Combine like terms: 5 + -5 = 0
0 + 1x = 7 + -5
1x = 7 + -5

Combine like terms: 7 + -5 = 2
1x = 2

Divide each side by '1'.
x = 2

Simplifying
x = 2

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