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

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


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

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

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

Reorder the terms:
4 + 6 + 4x + -2x = 5

Combine like terms: 4 + 6 = 10
10 + 4x + -2x = 5

Combine like terms: 4x + -2x = 2x
10 + 2x = 5

Solving
10 + 2x = 5

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + 2x = 5 + -10

Combine like terms: 10 + -10 = 0
0 + 2x = 5 + -10
2x = 5 + -10

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

Divide each side by '2'.
x = -2.5

Simplifying
x = -2.5

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