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

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


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

Reorder the terms:
7 + -3(-4 + x) = 2x + -1
7 + (-4 * -3 + x * -3) = 2x + -1
7 + (12 + -3x) = 2x + -1

Combine like terms: 7 + 12 = 19
19 + -3x = 2x + -1

Reorder the terms:
19 + -3x = -1 + 2x

Solving
19 + -3x = -1 + 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.
19 + -3x + -2x = -1 + 2x + -2x

Combine like terms: -3x + -2x = -5x
19 + -5x = -1 + 2x + -2x

Combine like terms: 2x + -2x = 0
19 + -5x = -1 + 0
19 + -5x = -1

Add '-19' to each side of the equation.
19 + -19 + -5x = -1 + -19

Combine like terms: 19 + -19 = 0
0 + -5x = -1 + -19
-5x = -1 + -19

Combine like terms: -1 + -19 = -20
-5x = -20

Divide each side by '-5'.
x = 4

Simplifying
x = 4

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