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

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


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

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

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

Solving for variable 'x'.

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

Add '21x' to each side of the equation.
-8 + 4x + 21x = 14 + -21x + 21x

Combine like terms: 4x + 21x = 25x
-8 + 25x = 14 + -21x + 21x

Combine like terms: -21x + 21x = 0
-8 + 25x = 14 + 0
-8 + 25x = 14

Add '8' to each side of the equation.
-8 + 8 + 25x = 14 + 8

Combine like terms: -8 + 8 = 0
0 + 25x = 14 + 8
25x = 14 + 8

Combine like terms: 14 + 8 = 22
25x = 22

Divide each side by '25'.
x = 0.88

Simplifying
x = 0.88

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