4(x-2)+4(x+1)=15-2x

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Solution for 4(x-2)+4(x+1)=15-2x equation:


Simplifying
4(x + -2) + 4(x + 1) = 15 + -2x

Reorder the terms:
4(-2 + x) + 4(x + 1) = 15 + -2x
(-2 * 4 + x * 4) + 4(x + 1) = 15 + -2x
(-8 + 4x) + 4(x + 1) = 15 + -2x

Reorder the terms:
-8 + 4x + 4(1 + x) = 15 + -2x
-8 + 4x + (1 * 4 + x * 4) = 15 + -2x
-8 + 4x + (4 + 4x) = 15 + -2x

Reorder the terms:
-8 + 4 + 4x + 4x = 15 + -2x

Combine like terms: -8 + 4 = -4
-4 + 4x + 4x = 15 + -2x

Combine like terms: 4x + 4x = 8x
-4 + 8x = 15 + -2x

Solving
-4 + 8x = 15 + -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.
-4 + 8x + 2x = 15 + -2x + 2x

Combine like terms: 8x + 2x = 10x
-4 + 10x = 15 + -2x + 2x

Combine like terms: -2x + 2x = 0
-4 + 10x = 15 + 0
-4 + 10x = 15

Add '4' to each side of the equation.
-4 + 4 + 10x = 15 + 4

Combine like terms: -4 + 4 = 0
0 + 10x = 15 + 4
10x = 15 + 4

Combine like terms: 15 + 4 = 19
10x = 19

Divide each side by '10'.
x = 1.9

Simplifying
x = 1.9

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