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

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


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

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

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

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

Combine like terms: -4 + 15 = 11
11 + 8x + 5x = 12

Combine like terms: 8x + 5x = 13x
11 + 13x = 12

Solving
11 + 13x = 12

Solving for variable 'x'.

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

Add '-11' to each side of the equation.
11 + -11 + 13x = 12 + -11

Combine like terms: 11 + -11 = 0
0 + 13x = 12 + -11
13x = 12 + -11

Combine like terms: 12 + -11 = 1
13x = 1

Divide each side by '13'.
x = 0.07692307692

Simplifying
x = 0.07692307692

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