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

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


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

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

Reorder the terms:
-1 + 3x + -4x = 2x + -7

Combine like terms: 3x + -4x = -1x
-1 + -1x = 2x + -7

Reorder the terms:
-1 + -1x = -7 + 2x

Solving
-1 + -1x = -7 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-1 + -1x + -2x = -7 + 2x + -2x

Combine like terms: -1x + -2x = -3x
-1 + -3x = -7 + 2x + -2x

Combine like terms: 2x + -2x = 0
-1 + -3x = -7 + 0
-1 + -3x = -7

Add '1' to each side of the equation.
-1 + 1 + -3x = -7 + 1

Combine like terms: -1 + 1 = 0
0 + -3x = -7 + 1
-3x = -7 + 1

Combine like terms: -7 + 1 = -6
-3x = -6

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

Simplifying
x = 2

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