26x-7(3x-2)=x+2

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Solution for 26x-7(3x-2)=x+2 equation:


Simplifying
26x + -7(3x + -2) = x + 2

Reorder the terms:
26x + -7(-2 + 3x) = x + 2
26x + (-2 * -7 + 3x * -7) = x + 2
26x + (14 + -21x) = x + 2

Reorder the terms:
14 + 26x + -21x = x + 2

Combine like terms: 26x + -21x = 5x
14 + 5x = x + 2

Reorder the terms:
14 + 5x = 2 + x

Solving
14 + 5x = 2 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
14 + 5x + -1x = 2 + x + -1x

Combine like terms: 5x + -1x = 4x
14 + 4x = 2 + x + -1x

Combine like terms: x + -1x = 0
14 + 4x = 2 + 0
14 + 4x = 2

Add '-14' to each side of the equation.
14 + -14 + 4x = 2 + -14

Combine like terms: 14 + -14 = 0
0 + 4x = 2 + -14
4x = 2 + -14

Combine like terms: 2 + -14 = -12
4x = -12

Divide each side by '4'.
x = -3

Simplifying
x = -3

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