4(2x+1)=7x+1

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


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

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

Reorder the terms:
4 + 8x = 1 + 7x

Solving
4 + 8x = 1 + 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.
4 + 8x + -7x = 1 + 7x + -7x

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

Combine like terms: 7x + -7x = 0
4 + 1x = 1 + 0
4 + 1x = 1

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

Combine like terms: 4 + -4 = 0
0 + 1x = 1 + -4
1x = 1 + -4

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

Divide each side by '1'.
x = -3

Simplifying
x = -3

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