4x-10=7(7+8x)+7x

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Solution for 4x-10=7(7+8x)+7x equation:


Simplifying
4x + -10 = 7(7 + 8x) + 7x

Reorder the terms:
-10 + 4x = 7(7 + 8x) + 7x
-10 + 4x = (7 * 7 + 8x * 7) + 7x
-10 + 4x = (49 + 56x) + 7x

Combine like terms: 56x + 7x = 63x
-10 + 4x = 49 + 63x

Solving
-10 + 4x = 49 + 63x

Solving for variable 'x'.

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

Add '-63x' to each side of the equation.
-10 + 4x + -63x = 49 + 63x + -63x

Combine like terms: 4x + -63x = -59x
-10 + -59x = 49 + 63x + -63x

Combine like terms: 63x + -63x = 0
-10 + -59x = 49 + 0
-10 + -59x = 49

Add '10' to each side of the equation.
-10 + 10 + -59x = 49 + 10

Combine like terms: -10 + 10 = 0
0 + -59x = 49 + 10
-59x = 49 + 10

Combine like terms: 49 + 10 = 59
-59x = 59

Divide each side by '-59'.
x = -1

Simplifying
x = -1

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