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

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


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

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

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

Reorder the terms:
12 + -3x = -4 + -3 + 4x

Combine like terms: -4 + -3 = -7
12 + -3x = -7 + 4x

Solving
12 + -3x = -7 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
12 + -3x + -4x = -7 + 4x + -4x

Combine like terms: -3x + -4x = -7x
12 + -7x = -7 + 4x + -4x

Combine like terms: 4x + -4x = 0
12 + -7x = -7 + 0
12 + -7x = -7

Add '-12' to each side of the equation.
12 + -12 + -7x = -7 + -12

Combine like terms: 12 + -12 = 0
0 + -7x = -7 + -12
-7x = -7 + -12

Combine like terms: -7 + -12 = -19
-7x = -19

Divide each side by '-7'.
x = 2.714285714

Simplifying
x = 2.714285714

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