(4x+1)=(7x-8)

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Solution for (4x+1)=(7x-8) equation:


Simplifying
(4x + 1) = (7x + -8)

Reorder the terms:
(1 + 4x) = (7x + -8)

Remove parenthesis around (1 + 4x)
1 + 4x = (7x + -8)

Reorder the terms:
1 + 4x = (-8 + 7x)

Remove parenthesis around (-8 + 7x)
1 + 4x = -8 + 7x

Solving
1 + 4x = -8 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
1 + 4x + -7x = -8 + 7x + -7x

Combine like terms: 4x + -7x = -3x
1 + -3x = -8 + 7x + -7x

Combine like terms: 7x + -7x = 0
1 + -3x = -8 + 0
1 + -3x = -8

Add '-1' to each side of the equation.
1 + -1 + -3x = -8 + -1

Combine like terms: 1 + -1 = 0
0 + -3x = -8 + -1
-3x = -8 + -1

Combine like terms: -8 + -1 = -9
-3x = -9

Divide each side by '-3'.
x = 3

Simplifying
x = 3

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