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

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


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

Reorder the terms:
5(-7 + x) + -1(-3 + 5x) = 3x + 3 + 7
(-7 * 5 + x * 5) + -1(-3 + 5x) = 3x + 3 + 7
(-35 + 5x) + -1(-3 + 5x) = 3x + 3 + 7
-35 + 5x + (-3 * -1 + 5x * -1) = 3x + 3 + 7
-35 + 5x + (3 + -5x) = 3x + 3 + 7

Reorder the terms:
-35 + 3 + 5x + -5x = 3x + 3 + 7

Combine like terms: -35 + 3 = -32
-32 + 5x + -5x = 3x + 3 + 7

Combine like terms: 5x + -5x = 0
-32 + 0 = 3x + 3 + 7
-32 = 3x + 3 + 7

Reorder the terms:
-32 = 3 + 7 + 3x

Combine like terms: 3 + 7 = 10
-32 = 10 + 3x

Solving
-32 = 10 + 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.
-32 + -3x = 10 + 3x + -3x

Combine like terms: 3x + -3x = 0
-32 + -3x = 10 + 0
-32 + -3x = 10

Add '32' to each side of the equation.
-32 + 32 + -3x = 10 + 32

Combine like terms: -32 + 32 = 0
0 + -3x = 10 + 32
-3x = 10 + 32

Combine like terms: 10 + 32 = 42
-3x = 42

Divide each side by '-3'.
x = -14

Simplifying
x = -14

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