5x-4(3-x)=2(x-1)-3

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Solution for 5x-4(3-x)=2(x-1)-3 equation:


Simplifying
5x + -4(3 + -1x) = 2(x + -1) + -3
5x + (3 * -4 + -1x * -4) = 2(x + -1) + -3
5x + (-12 + 4x) = 2(x + -1) + -3

Reorder the terms:
-12 + 5x + 4x = 2(x + -1) + -3

Combine like terms: 5x + 4x = 9x
-12 + 9x = 2(x + -1) + -3

Reorder the terms:
-12 + 9x = 2(-1 + x) + -3
-12 + 9x = (-1 * 2 + x * 2) + -3
-12 + 9x = (-2 + 2x) + -3

Reorder the terms:
-12 + 9x = -2 + -3 + 2x

Combine like terms: -2 + -3 = -5
-12 + 9x = -5 + 2x

Solving
-12 + 9x = -5 + 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.
-12 + 9x + -2x = -5 + 2x + -2x

Combine like terms: 9x + -2x = 7x
-12 + 7x = -5 + 2x + -2x

Combine like terms: 2x + -2x = 0
-12 + 7x = -5 + 0
-12 + 7x = -5

Add '12' to each side of the equation.
-12 + 12 + 7x = -5 + 12

Combine like terms: -12 + 12 = 0
0 + 7x = -5 + 12
7x = -5 + 12

Combine like terms: -5 + 12 = 7
7x = 7

Divide each side by '7'.
x = 1

Simplifying
x = 1

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