4(x-2)=5(x+t)

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


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

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

Reorder the terms:
-8 + 4x = 5(t + x)
-8 + 4x = (t * 5 + x * 5)
-8 + 4x = (5t + 5x)

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

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-8 + 4x + -5x = 5t + 5x + -5x

Combine like terms: 4x + -5x = -1x
-8 + -1x = 5t + 5x + -5x

Combine like terms: 5x + -5x = 0
-8 + -1x = 5t + 0
-8 + -1x = 5t

Add '8' to each side of the equation.
-8 + 8 + -1x = 8 + 5t

Combine like terms: -8 + 8 = 0
0 + -1x = 8 + 5t
-1x = 8 + 5t

Divide each side by '-1'.
x = -8 + -5t

Simplifying
x = -8 + -5t

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