-10-7x=6x+7(-4x+5)

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Solution for -10-7x=6x+7(-4x+5) equation:


Simplifying
-10 + -7x = 6x + 7(-4x + 5)

Reorder the terms:
-10 + -7x = 6x + 7(5 + -4x)
-10 + -7x = 6x + (5 * 7 + -4x * 7)
-10 + -7x = 6x + (35 + -28x)

Reorder the terms:
-10 + -7x = 35 + 6x + -28x

Combine like terms: 6x + -28x = -22x
-10 + -7x = 35 + -22x

Solving
-10 + -7x = 35 + -22x

Solving for variable 'x'.

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

Add '22x' to each side of the equation.
-10 + -7x + 22x = 35 + -22x + 22x

Combine like terms: -7x + 22x = 15x
-10 + 15x = 35 + -22x + 22x

Combine like terms: -22x + 22x = 0
-10 + 15x = 35 + 0
-10 + 15x = 35

Add '10' to each side of the equation.
-10 + 10 + 15x = 35 + 10

Combine like terms: -10 + 10 = 0
0 + 15x = 35 + 10
15x = 35 + 10

Combine like terms: 35 + 10 = 45
15x = 45

Divide each side by '15'.
x = 3

Simplifying
x = 3

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