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

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


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

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

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

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

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

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

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

Reorder the terms:
-1 + 8x = -2 + 5 + -2x

Combine like terms: -2 + 5 = 3
-1 + 8x = 3 + -2x

Solving
-1 + 8x = 3 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-1 + 8x + 2x = 3 + -2x + 2x

Combine like terms: 8x + 2x = 10x
-1 + 10x = 3 + -2x + 2x

Combine like terms: -2x + 2x = 0
-1 + 10x = 3 + 0
-1 + 10x = 3

Add '1' to each side of the equation.
-1 + 1 + 10x = 3 + 1

Combine like terms: -1 + 1 = 0
0 + 10x = 3 + 1
10x = 3 + 1

Combine like terms: 3 + 1 = 4
10x = 4

Divide each side by '10'.
x = 0.4

Simplifying
x = 0.4

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