2a+3t-4x+3=5a-t+x

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Solution for 2a+3t-4x+3=5a-t+x equation:


Simplifying
2a + 3t + -4x + 3 = 5a + -1t + x

Reorder the terms:
3 + 2a + 3t + -4x = 5a + -1t + x

Solving
3 + 2a + 3t + -4x = 5a + -1t + x

Solving for variable 'a'.

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

Add '-5a' to each side of the equation.
3 + 2a + 3t + -5a + -4x = 5a + -1t + -5a + x

Reorder the terms:
3 + 2a + -5a + 3t + -4x = 5a + -1t + -5a + x

Combine like terms: 2a + -5a = -3a
3 + -3a + 3t + -4x = 5a + -1t + -5a + x

Reorder the terms:
3 + -3a + 3t + -4x = 5a + -5a + -1t + x

Combine like terms: 5a + -5a = 0
3 + -3a + 3t + -4x = 0 + -1t + x
3 + -3a + 3t + -4x = -1t + x

Add '-3' to each side of the equation.
3 + -3a + 3t + -3 + -4x = -1t + -3 + x

Reorder the terms:
3 + -3 + -3a + 3t + -4x = -1t + -3 + x

Combine like terms: 3 + -3 = 0
0 + -3a + 3t + -4x = -1t + -3 + x
-3a + 3t + -4x = -1t + -3 + x

Reorder the terms:
-3a + 3t + -4x = -3 + -1t + x

Add '-3t' to each side of the equation.
-3a + 3t + -3t + -4x = -3 + -1t + -3t + x

Combine like terms: 3t + -3t = 0
-3a + 0 + -4x = -3 + -1t + -3t + x
-3a + -4x = -3 + -1t + -3t + x

Combine like terms: -1t + -3t = -4t
-3a + -4x = -3 + -4t + x

Add '4x' to each side of the equation.
-3a + -4x + 4x = -3 + -4t + x + 4x

Combine like terms: -4x + 4x = 0
-3a + 0 = -3 + -4t + x + 4x
-3a = -3 + -4t + x + 4x

Combine like terms: x + 4x = 5x
-3a = -3 + -4t + 5x

Divide each side by '-3'.
a = 1 + 1.333333333t + -1.666666667x

Simplifying
a = 1 + 1.333333333t + -1.666666667x

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