7x-1=4(11-2x)

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Solution for 7x-1=4(11-2x) equation:


Simplifying
7x + -1 = 4(11 + -2x)

Reorder the terms:
-1 + 7x = 4(11 + -2x)
-1 + 7x = (11 * 4 + -2x * 4)
-1 + 7x = (44 + -8x)

Solving
-1 + 7x = 44 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-1 + 7x + 8x = 44 + -8x + 8x

Combine like terms: 7x + 8x = 15x
-1 + 15x = 44 + -8x + 8x

Combine like terms: -8x + 8x = 0
-1 + 15x = 44 + 0
-1 + 15x = 44

Add '1' to each side of the equation.
-1 + 1 + 15x = 44 + 1

Combine like terms: -1 + 1 = 0
0 + 15x = 44 + 1
15x = 44 + 1

Combine like terms: 44 + 1 = 45
15x = 45

Divide each side by '15'.
x = 3

Simplifying
x = 3

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