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

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


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

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

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

Reorder the terms:
-8 + 3 + 4x + 6x = 5

Combine like terms: -8 + 3 = -5
-5 + 4x + 6x = 5

Combine like terms: 4x + 6x = 10x
-5 + 10x = 5

Solving
-5 + 10x = 5

Solving for variable 'x'.

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

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

Combine like terms: -5 + 5 = 0
0 + 10x = 5 + 5
10x = 5 + 5

Combine like terms: 5 + 5 = 10
10x = 10

Divide each side by '10'.
x = 1

Simplifying
x = 1

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