4(2x-1)-3(x-2)=10-3x

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Solution for 4(2x-1)-3(x-2)=10-3x equation: 


Simplifying
4(2x + -1) + -3(x + -2) = 10 + -3x

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

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

Reorder the terms:
-4 + 6 + 8x + -3x = 10 + -3x

Combine like terms: -4 + 6 = 2
2 + 8x + -3x = 10 + -3x

Combine like terms: 8x + -3x = 5x
2 + 5x = 10 + -3x

Solving
2 + 5x = 10 + -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.
2 + 5x + 3x = 10 + -3x + 3x

Combine like terms: 5x + 3x = 8x
2 + 8x = 10 + -3x + 3x

Combine like terms: -3x + 3x = 0
2 + 8x = 10 + 0
2 + 8x = 10

Add '-2' to each side of the equation.
2 + -2 + 8x = 10 + -2

Combine like terms: 2 + -2 = 0
0 + 8x = 10 + -2
8x = 10 + -2

Combine like terms: 10 + -2 = 8
8x = 8

Divide each side by '8'.
x = 1

Simplifying
x = 1

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