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

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


Simplifying
7(2x + -3) = 4(2 + -1x)

Reorder the terms:
7(-3 + 2x) = 4(2 + -1x)
(-3 * 7 + 2x * 7) = 4(2 + -1x)
(-21 + 14x) = 4(2 + -1x)
-21 + 14x = (2 * 4 + -1x * 4)
-21 + 14x = (8 + -4x)

Solving
-21 + 14x = 8 + -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 = 8 + -4x + 4x

Combine like terms: 14x + 4x = 18x
-21 + 18x = 8 + -4x + 4x

Combine like terms: -4x + 4x = 0
-21 + 18x = 8 + 0
-21 + 18x = 8

Add '21' to each side of the equation.
-21 + 21 + 18x = 8 + 21

Combine like terms: -21 + 21 = 0
0 + 18x = 8 + 21
18x = 8 + 21

Combine like terms: 8 + 21 = 29
18x = 29

Divide each side by '18'.
x = 1.611111111

Simplifying
x = 1.611111111

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