4(x+1)=7x-2

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


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

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

Reorder the terms:
4 + 4x = -2 + 7x

Solving
4 + 4x = -2 + 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 + 4x + -7x = -2 + 7x + -7x

Combine like terms: 4x + -7x = -3x
4 + -3x = -2 + 7x + -7x

Combine like terms: 7x + -7x = 0
4 + -3x = -2 + 0
4 + -3x = -2

Add '-4' to each side of the equation.
4 + -4 + -3x = -2 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = -2 + -4
-3x = -2 + -4

Combine like terms: -2 + -4 = -6
-3x = -6

Divide each side by '-3'.
x = 2

Simplifying
x = 2

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