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

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


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

Reorder the terms:
5(-2 + x) = 4(1 + -2x)
(-2 * 5 + x * 5) = 4(1 + -2x)
(-10 + 5x) = 4(1 + -2x)
-10 + 5x = (1 * 4 + -2x * 4)
-10 + 5x = (4 + -8x)

Solving
-10 + 5x = 4 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-10 + 5x + 8x = 4 + -8x + 8x

Combine like terms: 5x + 8x = 13x
-10 + 13x = 4 + -8x + 8x

Combine like terms: -8x + 8x = 0
-10 + 13x = 4 + 0
-10 + 13x = 4

Add '10' to each side of the equation.
-10 + 10 + 13x = 4 + 10

Combine like terms: -10 + 10 = 0
0 + 13x = 4 + 10
13x = 4 + 10

Combine like terms: 4 + 10 = 14
13x = 14

Divide each side by '13'.
x = 1.076923077

Simplifying
x = 1.076923077

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