1.2(4-7t)=2.5(3t-4)

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Solution for 1.2(4-7t)=2.5(3t-4) equation:


Simplifying
1.2(4 + -7t) = 2.5(3t + -4)
(4 * 1.2 + -7t * 1.2) = 2.5(3t + -4)
(4.8 + -8.4t) = 2.5(3t + -4)

Reorder the terms:
4.8 + -8.4t = 2.5(-4 + 3t)
4.8 + -8.4t = (-4 * 2.5 + 3t * 2.5)
4.8 + -8.4t = (-10 + 7.5t)

Solving
4.8 + -8.4t = -10 + 7.5t

Solving for variable 't'.

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

Add '-7.5t' to each side of the equation.
4.8 + -8.4t + -7.5t = -10 + 7.5t + -7.5t

Combine like terms: -8.4t + -7.5t = -15.9t
4.8 + -15.9t = -10 + 7.5t + -7.5t

Combine like terms: 7.5t + -7.5t = 0.0
4.8 + -15.9t = -10 + 0.0
4.8 + -15.9t = -10

Add '-4.8' to each side of the equation.
4.8 + -4.8 + -15.9t = -10 + -4.8

Combine like terms: 4.8 + -4.8 = 0.0
0.0 + -15.9t = -10 + -4.8
-15.9t = -10 + -4.8

Combine like terms: -10 + -4.8 = -14.8
-15.9t = -14.8

Divide each side by '-15.9'.
t = 0.9308176101

Simplifying
t = 0.9308176101

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