7(3-2x)=4(x+5)

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Solution for 7(3-2x)=4(x+5) equation:


Simplifying
7(3 + -2x) = 4(x + 5)
(3 * 7 + -2x * 7) = 4(x + 5)
(21 + -14x) = 4(x + 5)

Reorder the terms:
21 + -14x = 4(5 + x)
21 + -14x = (5 * 4 + x * 4)
21 + -14x = (20 + 4x)

Solving
21 + -14x = 20 + 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.
21 + -14x + -4x = 20 + 4x + -4x

Combine like terms: -14x + -4x = -18x
21 + -18x = 20 + 4x + -4x

Combine like terms: 4x + -4x = 0
21 + -18x = 20 + 0
21 + -18x = 20

Add '-21' to each side of the equation.
21 + -21 + -18x = 20 + -21

Combine like terms: 21 + -21 = 0
0 + -18x = 20 + -21
-18x = 20 + -21

Combine like terms: 20 + -21 = -1
-18x = -1

Divide each side by '-18'.
x = 0.05555555556

Simplifying
x = 0.05555555556

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