4(5+2x)-3(t-4)=6(t-7)+8

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Solution for 4(5+2x)-3(t-4)=6(t-7)+8 equation: 


Simplifying
4(5 + 2x) + -3(t + -4) = 6(t + -7) + 8
(5 * 4 + 2x * 4) + -3(t + -4) = 6(t + -7) + 8
(20 + 8x) + -3(t + -4) = 6(t + -7) + 8

Reorder the terms:
20 + 8x + -3(-4 + t) = 6(t + -7) + 8
20 + 8x + (-4 * -3 + t * -3) = 6(t + -7) + 8
20 + 8x + (12 + -3t) = 6(t + -7) + 8

Reorder the terms:
20 + 12 + -3t + 8x = 6(t + -7) + 8

Combine like terms: 20 + 12 = 32
32 + -3t + 8x = 6(t + -7) + 8

Reorder the terms:
32 + -3t + 8x = 6(-7 + t) + 8
32 + -3t + 8x = (-7 * 6 + t * 6) + 8
32 + -3t + 8x = (-42 + 6t) + 8

Reorder the terms:
32 + -3t + 8x = -42 + 8 + 6t

Combine like terms: -42 + 8 = -34
32 + -3t + 8x = -34 + 6t

Solving
32 + -3t + 8x = -34 + 6t

Solving for variable 't'.

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

Add '-6t' to each side of the equation.
32 + -3t + -6t + 8x = -34 + 6t + -6t

Combine like terms: -3t + -6t = -9t
32 + -9t + 8x = -34 + 6t + -6t

Combine like terms: 6t + -6t = 0
32 + -9t + 8x = -34 + 0
32 + -9t + 8x = -34

Add '-32' to each side of the equation.
32 + -9t + -32 + 8x = -34 + -32

Reorder the terms:
32 + -32 + -9t + 8x = -34 + -32

Combine like terms: 32 + -32 = 0
0 + -9t + 8x = -34 + -32
-9t + 8x = -34 + -32

Combine like terms: -34 + -32 = -66
-9t + 8x = -66

Add '-8x' to each side of the equation.
-9t + 8x + -8x = -66 + -8x

Combine like terms: 8x + -8x = 0
-9t + 0 = -66 + -8x
-9t = -66 + -8x

Divide each side by '-9'.
t = 7.333333333 + 0.8888888889x

Simplifying
t = 7.333333333 + 0.8888888889x

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