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

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


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

Reorder the terms:
8 + 4x = 3(x + -4) + 5

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

Reorder the terms:
8 + 4x = -12 + 5 + 3x

Combine like terms: -12 + 5 = -7
8 + 4x = -7 + 3x

Solving
8 + 4x = -7 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
8 + 4x + -3x = -7 + 3x + -3x

Combine like terms: 4x + -3x = 1x
8 + 1x = -7 + 3x + -3x

Combine like terms: 3x + -3x = 0
8 + 1x = -7 + 0
8 + 1x = -7

Add '-8' to each side of the equation.
8 + -8 + 1x = -7 + -8

Combine like terms: 8 + -8 = 0
0 + 1x = -7 + -8
1x = -7 + -8

Combine like terms: -7 + -8 = -15
1x = -15

Divide each side by '1'.
x = -15

Simplifying
x = -15

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