7x+3a=4(x-2a)+5

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Solution for 7x+3a=4(x-2a)+5 equation:


Simplifying
7x + 3a = 4(x + -2a) + 5

Reorder the terms:
3a + 7x = 4(x + -2a) + 5

Reorder the terms:
3a + 7x = 4(-2a + x) + 5
3a + 7x = (-2a * 4 + x * 4) + 5
3a + 7x = (-8a + 4x) + 5

Reorder the terms:
3a + 7x = 5 + -8a + 4x

Solving
3a + 7x = 5 + -8a + 4x

Solving for variable 'a'.

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

Add '8a' to each side of the equation.
3a + 8a + 7x = 5 + -8a + 8a + 4x

Combine like terms: 3a + 8a = 11a
11a + 7x = 5 + -8a + 8a + 4x

Combine like terms: -8a + 8a = 0
11a + 7x = 5 + 0 + 4x
11a + 7x = 5 + 4x

Add '-7x' to each side of the equation.
11a + 7x + -7x = 5 + 4x + -7x

Combine like terms: 7x + -7x = 0
11a + 0 = 5 + 4x + -7x
11a = 5 + 4x + -7x

Combine like terms: 4x + -7x = -3x
11a = 5 + -3x

Divide each side by '11'.
a = 0.4545454545 + -0.2727272727x

Simplifying
a = 0.4545454545 + -0.2727272727x

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