7(x-5)=70(x+4)

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Solution for 7(x-5)=70(x+4) equation:


Simplifying
7(x + -5) = 70(x + 4)

Reorder the terms:
7(-5 + x) = 70(x + 4)
(-5 * 7 + x * 7) = 70(x + 4)
(-35 + 7x) = 70(x + 4)

Reorder the terms:
-35 + 7x = 70(4 + x)
-35 + 7x = (4 * 70 + x * 70)
-35 + 7x = (280 + 70x)

Solving
-35 + 7x = 280 + 70x

Solving for variable 'x'.

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

Add '-70x' to each side of the equation.
-35 + 7x + -70x = 280 + 70x + -70x

Combine like terms: 7x + -70x = -63x
-35 + -63x = 280 + 70x + -70x

Combine like terms: 70x + -70x = 0
-35 + -63x = 280 + 0
-35 + -63x = 280

Add '35' to each side of the equation.
-35 + 35 + -63x = 280 + 35

Combine like terms: -35 + 35 = 0
0 + -63x = 280 + 35
-63x = 280 + 35

Combine like terms: 280 + 35 = 315
-63x = 315

Divide each side by '-63'.
x = -5

Simplifying
x = -5

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