-7(x+10)=3-(5x-19)

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Solution for -7(x+10)=3-(5x-19) equation:


Simplifying
-7(x + 10) = 3 + -1(5x + -19)

Reorder the terms:
-7(10 + x) = 3 + -1(5x + -19)
(10 * -7 + x * -7) = 3 + -1(5x + -19)
(-70 + -7x) = 3 + -1(5x + -19)

Reorder the terms:
-70 + -7x = 3 + -1(-19 + 5x)
-70 + -7x = 3 + (-19 * -1 + 5x * -1)
-70 + -7x = 3 + (19 + -5x)

Combine like terms: 3 + 19 = 22
-70 + -7x = 22 + -5x

Solving
-70 + -7x = 22 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-70 + -7x + 5x = 22 + -5x + 5x

Combine like terms: -7x + 5x = -2x
-70 + -2x = 22 + -5x + 5x

Combine like terms: -5x + 5x = 0
-70 + -2x = 22 + 0
-70 + -2x = 22

Add '70' to each side of the equation.
-70 + 70 + -2x = 22 + 70

Combine like terms: -70 + 70 = 0
0 + -2x = 22 + 70
-2x = 22 + 70

Combine like terms: 22 + 70 = 92
-2x = 92

Divide each side by '-2'.
x = -46

Simplifying
x = -46

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