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

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


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

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

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

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

Combine like terms: 10 + -3 = 7
7 + 5x + -6x = 4(x + -1)

Combine like terms: 5x + -6x = -1x
7 + -1x = 4(x + -1)

Reorder the terms:
7 + -1x = 4(-1 + x)
7 + -1x = (-1 * 4 + x * 4)
7 + -1x = (-4 + 4x)

Solving
7 + -1x = -4 + 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.
7 + -1x + -4x = -4 + 4x + -4x

Combine like terms: -1x + -4x = -5x
7 + -5x = -4 + 4x + -4x

Combine like terms: 4x + -4x = 0
7 + -5x = -4 + 0
7 + -5x = -4

Add '-7' to each side of the equation.
7 + -7 + -5x = -4 + -7

Combine like terms: 7 + -7 = 0
0 + -5x = -4 + -7
-5x = -4 + -7

Combine like terms: -4 + -7 = -11
-5x = -11

Divide each side by '-5'.
x = 2.2

Simplifying
x = 2.2

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