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

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


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

Reorder the terms:
4(1 + x) = 4x + -3(5 + -1x)
(1 * 4 + x * 4) = 4x + -3(5 + -1x)
(4 + 4x) = 4x + -3(5 + -1x)
4 + 4x = 4x + (5 * -3 + -1x * -3)
4 + 4x = 4x + (-15 + 3x)

Reorder the terms:
4 + 4x = -15 + 4x + 3x

Combine like terms: 4x + 3x = 7x
4 + 4x = -15 + 7x

Solving
4 + 4x = -15 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
4 + 4x + -7x = -15 + 7x + -7x

Combine like terms: 4x + -7x = -3x
4 + -3x = -15 + 7x + -7x

Combine like terms: 7x + -7x = 0
4 + -3x = -15 + 0
4 + -3x = -15

Add '-4' to each side of the equation.
4 + -4 + -3x = -15 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = -15 + -4
-3x = -15 + -4

Combine like terms: -15 + -4 = -19
-3x = -19

Divide each side by '-3'.
x = 6.333333333

Simplifying
x = 6.333333333

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