7-2(4t-18)=13+9(x-5)

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Solution for 7-2(4t-18)=13+9(x-5) equation:


Simplifying
7 + -2(4t + -18) = 13 + 9(x + -5)

Reorder the terms:
7 + -2(-18 + 4t) = 13 + 9(x + -5)
7 + (-18 * -2 + 4t * -2) = 13 + 9(x + -5)
7 + (36 + -8t) = 13 + 9(x + -5)

Combine like terms: 7 + 36 = 43
43 + -8t = 13 + 9(x + -5)

Reorder the terms:
43 + -8t = 13 + 9(-5 + x)
43 + -8t = 13 + (-5 * 9 + x * 9)
43 + -8t = 13 + (-45 + 9x)

Combine like terms: 13 + -45 = -32
43 + -8t = -32 + 9x

Solving
43 + -8t = -32 + 9x

Solving for variable 't'.

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

Add '-43' to each side of the equation.
43 + -43 + -8t = -32 + -43 + 9x

Combine like terms: 43 + -43 = 0
0 + -8t = -32 + -43 + 9x
-8t = -32 + -43 + 9x

Combine like terms: -32 + -43 = -75
-8t = -75 + 9x

Divide each side by '-8'.
t = 9.375 + -1.125x

Simplifying
t = 9.375 + -1.125x

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