4(x-3)+7=5-(x+8)

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Solution for 4(x-3)+7=5-(x+8) equation:


Simplifying
4(x + -3) + 7 = 5 + -1(x + 8)

Reorder the terms:
4(-3 + x) + 7 = 5 + -1(x + 8)
(-3 * 4 + x * 4) + 7 = 5 + -1(x + 8)
(-12 + 4x) + 7 = 5 + -1(x + 8)

Reorder the terms:
-12 + 7 + 4x = 5 + -1(x + 8)

Combine like terms: -12 + 7 = -5
-5 + 4x = 5 + -1(x + 8)

Reorder the terms:
-5 + 4x = 5 + -1(8 + x)
-5 + 4x = 5 + (8 * -1 + x * -1)
-5 + 4x = 5 + (-8 + -1x)

Combine like terms: 5 + -8 = -3
-5 + 4x = -3 + -1x

Solving
-5 + 4x = -3 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-5 + 4x + x = -3 + -1x + x

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

Combine like terms: -1x + x = 0
-5 + 5x = -3 + 0
-5 + 5x = -3

Add '5' to each side of the equation.
-5 + 5 + 5x = -3 + 5

Combine like terms: -5 + 5 = 0
0 + 5x = -3 + 5
5x = -3 + 5

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

Divide each side by '5'.
x = 0.4

Simplifying
x = 0.4

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