4(7x-1)=5(2x+1)

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Solution for 4(7x-1)=5(2x+1) equation:


Simplifying
4(7x + -1) = 5(2x + 1)

Reorder the terms:
4(-1 + 7x) = 5(2x + 1)
(-1 * 4 + 7x * 4) = 5(2x + 1)
(-4 + 28x) = 5(2x + 1)

Reorder the terms:
-4 + 28x = 5(1 + 2x)
-4 + 28x = (1 * 5 + 2x * 5)
-4 + 28x = (5 + 10x)

Solving
-4 + 28x = 5 + 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.
-4 + 28x + -10x = 5 + 10x + -10x

Combine like terms: 28x + -10x = 18x
-4 + 18x = 5 + 10x + -10x

Combine like terms: 10x + -10x = 0
-4 + 18x = 5 + 0
-4 + 18x = 5

Add '4' to each side of the equation.
-4 + 4 + 18x = 5 + 4

Combine like terms: -4 + 4 = 0
0 + 18x = 5 + 4
18x = 5 + 4

Combine like terms: 5 + 4 = 9
18x = 9

Divide each side by '18'.
x = 0.5

Simplifying
x = 0.5

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