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

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


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

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

Combine like terms: 7 + 4 = 11
11 + -4x = 4x + -3

Reorder the terms:
11 + -4x = -3 + 4x

Solving
11 + -4x = -3 + 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.
11 + -4x + -4x = -3 + 4x + -4x

Combine like terms: -4x + -4x = -8x
11 + -8x = -3 + 4x + -4x

Combine like terms: 4x + -4x = 0
11 + -8x = -3 + 0
11 + -8x = -3

Add '-11' to each side of the equation.
11 + -11 + -8x = -3 + -11

Combine like terms: 11 + -11 = 0
0 + -8x = -3 + -11
-8x = -3 + -11

Combine like terms: -3 + -11 = -14
-8x = -14

Divide each side by '-8'.
x = 1.75

Simplifying
x = 1.75

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