3+2(5x-4)=6-3(2x+1)

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Solution for 3+2(5x-4)=6-3(2x+1) equation:


Simplifying
3 + 2(5x + -4) = 6 + -3(2x + 1)

Reorder the terms:
3 + 2(-4 + 5x) = 6 + -3(2x + 1)
3 + (-4 * 2 + 5x * 2) = 6 + -3(2x + 1)
3 + (-8 + 10x) = 6 + -3(2x + 1)

Combine like terms: 3 + -8 = -5
-5 + 10x = 6 + -3(2x + 1)

Reorder the terms:
-5 + 10x = 6 + -3(1 + 2x)
-5 + 10x = 6 + (1 * -3 + 2x * -3)
-5 + 10x = 6 + (-3 + -6x)

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

Solving
-5 + 10x = 3 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-5 + 10x + 6x = 3 + -6x + 6x

Combine like terms: 10x + 6x = 16x
-5 + 16x = 3 + -6x + 6x

Combine like terms: -6x + 6x = 0
-5 + 16x = 3 + 0
-5 + 16x = 3

Add '5' to each side of the equation.
-5 + 5 + 16x = 3 + 5

Combine like terms: -5 + 5 = 0
0 + 16x = 3 + 5
16x = 3 + 5

Combine like terms: 3 + 5 = 8
16x = 8

Divide each side by '16'.
x = 0.5

Simplifying
x = 0.5

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