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

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


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

Reorder the terms:
5(-1 + 2x) + -2(3x + 4) = 3
(-1 * 5 + 2x * 5) + -2(3x + 4) = 3
(-5 + 10x) + -2(3x + 4) = 3

Reorder the terms:
-5 + 10x + -2(4 + 3x) = 3
-5 + 10x + (4 * -2 + 3x * -2) = 3
-5 + 10x + (-8 + -6x) = 3

Reorder the terms:
-5 + -8 + 10x + -6x = 3

Combine like terms: -5 + -8 = -13
-13 + 10x + -6x = 3

Combine like terms: 10x + -6x = 4x
-13 + 4x = 3

Solving
-13 + 4x = 3

Solving for variable 'x'.

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

Add '13' to each side of the equation.
-13 + 13 + 4x = 3 + 13

Combine like terms: -13 + 13 = 0
0 + 4x = 3 + 13
4x = 3 + 13

Combine like terms: 3 + 13 = 16
4x = 16

Divide each side by '4'.
x = 4

Simplifying
x = 4

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