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

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


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

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

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

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

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

Solving
-1 + 4x = 10 + 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 + 4x + -2x = 10 + 2x + -2x

Combine like terms: 4x + -2x = 2x
-1 + 2x = 10 + 2x + -2x

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

Add '1' to each side of the equation.
-1 + 1 + 2x = 10 + 1

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

Combine like terms: 10 + 1 = 11
2x = 11

Divide each side by '2'.
x = 5.5

Simplifying
x = 5.5

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