4x-2(3x-1)=7x+11

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Solution for 4x-2(3x-1)=7x+11 equation:


Simplifying
4x + -2(3x + -1) = 7x + 11

Reorder the terms:
4x + -2(-1 + 3x) = 7x + 11
4x + (-1 * -2 + 3x * -2) = 7x + 11
4x + (2 + -6x) = 7x + 11

Reorder the terms:
2 + 4x + -6x = 7x + 11

Combine like terms: 4x + -6x = -2x
2 + -2x = 7x + 11

Reorder the terms:
2 + -2x = 11 + 7x

Solving
2 + -2x = 11 + 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.
2 + -2x + -7x = 11 + 7x + -7x

Combine like terms: -2x + -7x = -9x
2 + -9x = 11 + 7x + -7x

Combine like terms: 7x + -7x = 0
2 + -9x = 11 + 0
2 + -9x = 11

Add '-2' to each side of the equation.
2 + -2 + -9x = 11 + -2

Combine like terms: 2 + -2 = 0
0 + -9x = 11 + -2
-9x = 11 + -2

Combine like terms: 11 + -2 = 9
-9x = 9

Divide each side by '-9'.
x = -1

Simplifying
x = -1

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