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

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


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

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

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

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

Combine like terms: 6 + -1 = 5
5 + 3x + -2x = 10 + -3(-1) + -4x

Combine like terms: 3x + -2x = 1x
5 + 1x = 10 + -3(-1) + -4x

Multiply -3 * -1
5 + 1x = 10 + 3 + -4x

Combine like terms: 10 + 3 = 13
5 + 1x = 13 + -4x

Solving
5 + 1x = 13 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
5 + 1x + 4x = 13 + -4x + 4x

Combine like terms: 1x + 4x = 5x
5 + 5x = 13 + -4x + 4x

Combine like terms: -4x + 4x = 0
5 + 5x = 13 + 0
5 + 5x = 13

Add '-5' to each side of the equation.
5 + -5 + 5x = 13 + -5

Combine like terms: 5 + -5 = 0
0 + 5x = 13 + -5
5x = 13 + -5

Combine like terms: 13 + -5 = 8
5x = 8

Divide each side by '5'.
x = 1.6

Simplifying
x = 1.6

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