3(x-5)-8(x+3)+7=-67

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Solution for 3(x-5)-8(x+3)+7=-67 equation: 


Simplifying
3(x + -5) + -8(x + 3) + 7 = -67

Reorder the terms:
3(-5 + x) + -8(x + 3) + 7 = -67
(-5 * 3 + x * 3) + -8(x + 3) + 7 = -67
(-15 + 3x) + -8(x + 3) + 7 = -67

Reorder the terms:
-15 + 3x + -8(3 + x) + 7 = -67
-15 + 3x + (3 * -8 + x * -8) + 7 = -67
-15 + 3x + (-24 + -8x) + 7 = -67

Reorder the terms:
-15 + -24 + 7 + 3x + -8x = -67

Combine like terms: -15 + -24 = -39
-39 + 7 + 3x + -8x = -67

Combine like terms: -39 + 7 = -32
-32 + 3x + -8x = -67

Combine like terms: 3x + -8x = -5x
-32 + -5x = -67

Solving
-32 + -5x = -67

Solving for variable 'x'.

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

Add '32' to each side of the equation.
-32 + 32 + -5x = -67 + 32

Combine like terms: -32 + 32 = 0
0 + -5x = -67 + 32
-5x = -67 + 32

Combine like terms: -67 + 32 = -35
-5x = -35

Divide each side by '-5'.
x = 7

Simplifying
x = 7

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