8(x+5)-10=4(x-3)+8

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Solution for 8(x+5)-10=4(x-3)+8 equation:


Simplifying
8(x + 5) + -10 = 4(x + -3) + 8

Reorder the terms:
8(5 + x) + -10 = 4(x + -3) + 8
(5 * 8 + x * 8) + -10 = 4(x + -3) + 8
(40 + 8x) + -10 = 4(x + -3) + 8

Reorder the terms:
40 + -10 + 8x = 4(x + -3) + 8

Combine like terms: 40 + -10 = 30
30 + 8x = 4(x + -3) + 8

Reorder the terms:
30 + 8x = 4(-3 + x) + 8
30 + 8x = (-3 * 4 + x * 4) + 8
30 + 8x = (-12 + 4x) + 8

Reorder the terms:
30 + 8x = -12 + 8 + 4x

Combine like terms: -12 + 8 = -4
30 + 8x = -4 + 4x

Solving
30 + 8x = -4 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
30 + 8x + -4x = -4 + 4x + -4x

Combine like terms: 8x + -4x = 4x
30 + 4x = -4 + 4x + -4x

Combine like terms: 4x + -4x = 0
30 + 4x = -4 + 0
30 + 4x = -4

Add '-30' to each side of the equation.
30 + -30 + 4x = -4 + -30

Combine like terms: 30 + -30 = 0
0 + 4x = -4 + -30
4x = -4 + -30

Combine like terms: -4 + -30 = -34
4x = -34

Divide each side by '4'.
x = -8.5

Simplifying
x = -8.5

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