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

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


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

Reorder the terms:
7(-4 + x) = 5(1 + 5x)
(-4 * 7 + x * 7) = 5(1 + 5x)
(-28 + 7x) = 5(1 + 5x)
-28 + 7x = (1 * 5 + 5x * 5)
-28 + 7x = (5 + 25x)

Solving
-28 + 7x = 5 + 25x

Solving for variable 'x'.

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

Add '-25x' to each side of the equation.
-28 + 7x + -25x = 5 + 25x + -25x

Combine like terms: 7x + -25x = -18x
-28 + -18x = 5 + 25x + -25x

Combine like terms: 25x + -25x = 0
-28 + -18x = 5 + 0
-28 + -18x = 5

Add '28' to each side of the equation.
-28 + 28 + -18x = 5 + 28

Combine like terms: -28 + 28 = 0
0 + -18x = 5 + 28
-18x = 5 + 28

Combine like terms: 5 + 28 = 33
-18x = 33

Divide each side by '-18'.
x = -1.833333333

Simplifying
x = -1.833333333

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