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

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


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

Reorder the terms:
6(7 + 5x) = 7(4x + -10)
(7 * 6 + 5x * 6) = 7(4x + -10)
(42 + 30x) = 7(4x + -10)

Reorder the terms:
42 + 30x = 7(-10 + 4x)
42 + 30x = (-10 * 7 + 4x * 7)
42 + 30x = (-70 + 28x)

Solving
42 + 30x = -70 + 28x

Solving for variable 'x'.

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

Add '-28x' to each side of the equation.
42 + 30x + -28x = -70 + 28x + -28x

Combine like terms: 30x + -28x = 2x
42 + 2x = -70 + 28x + -28x

Combine like terms: 28x + -28x = 0
42 + 2x = -70 + 0
42 + 2x = -70

Add '-42' to each side of the equation.
42 + -42 + 2x = -70 + -42

Combine like terms: 42 + -42 = 0
0 + 2x = -70 + -42
2x = -70 + -42

Combine like terms: -70 + -42 = -112
2x = -112

Divide each side by '2'.
x = -56

Simplifying
x = -56

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