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

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


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

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

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

Solving
-10 + 5x = 4 + 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.
-10 + 5x + -4x = 4 + 4x + -4x

Combine like terms: 5x + -4x = 1x
-10 + 1x = 4 + 4x + -4x

Combine like terms: 4x + -4x = 0
-10 + 1x = 4 + 0
-10 + 1x = 4

Add '10' to each side of the equation.
-10 + 10 + 1x = 4 + 10

Combine like terms: -10 + 10 = 0
0 + 1x = 4 + 10
1x = 4 + 10

Combine like terms: 4 + 10 = 14
1x = 14

Divide each side by '1'.
x = 14

Simplifying
x = 14

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