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

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


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

Reorder the terms:
5(-1 + 2x) + -4(2 + x) = 3x
(-1 * 5 + 2x * 5) + -4(2 + x) = 3x
(-5 + 10x) + -4(2 + x) = 3x
-5 + 10x + (2 * -4 + x * -4) = 3x
-5 + 10x + (-8 + -4x) = 3x

Reorder the terms:
-5 + -8 + 10x + -4x = 3x

Combine like terms: -5 + -8 = -13
-13 + 10x + -4x = 3x

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

Solving
-13 + 6x = 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-13 + 6x + -3x = 3x + -3x

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

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

Add '13' to each side of the equation.
-13 + 13 + 3x = 0 + 13

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

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

Divide each side by '3'.
x = 4.333333333

Simplifying
x = 4.333333333

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