4(2x-1)-3(5-x)=12-5x

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Solution for 4(2x-1)-3(5-x)=12-5x equation:


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

Reorder the terms:
4(-1 + 2x) + -3(5 + -1x) = 12 + -5x
(-1 * 4 + 2x * 4) + -3(5 + -1x) = 12 + -5x
(-4 + 8x) + -3(5 + -1x) = 12 + -5x
-4 + 8x + (5 * -3 + -1x * -3) = 12 + -5x
-4 + 8x + (-15 + 3x) = 12 + -5x

Reorder the terms:
-4 + -15 + 8x + 3x = 12 + -5x

Combine like terms: -4 + -15 = -19
-19 + 8x + 3x = 12 + -5x

Combine like terms: 8x + 3x = 11x
-19 + 11x = 12 + -5x

Solving
-19 + 11x = 12 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-19 + 11x + 5x = 12 + -5x + 5x

Combine like terms: 11x + 5x = 16x
-19 + 16x = 12 + -5x + 5x

Combine like terms: -5x + 5x = 0
-19 + 16x = 12 + 0
-19 + 16x = 12

Add '19' to each side of the equation.
-19 + 19 + 16x = 12 + 19

Combine like terms: -19 + 19 = 0
0 + 16x = 12 + 19
16x = 12 + 19

Combine like terms: 12 + 19 = 31
16x = 31

Divide each side by '16'.
x = 1.9375

Simplifying
x = 1.9375

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