8(4x-6)=7(3x-10)

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Solution for 8(4x-6)=7(3x-10) equation:


Simplifying
8(4x + -6) = 7(3x + -10)

Reorder the terms:
8(-6 + 4x) = 7(3x + -10)
(-6 * 8 + 4x * 8) = 7(3x + -10)
(-48 + 32x) = 7(3x + -10)

Reorder the terms:
-48 + 32x = 7(-10 + 3x)
-48 + 32x = (-10 * 7 + 3x * 7)
-48 + 32x = (-70 + 21x)

Solving
-48 + 32x = -70 + 21x

Solving for variable 'x'.

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

Add '-21x' to each side of the equation.
-48 + 32x + -21x = -70 + 21x + -21x

Combine like terms: 32x + -21x = 11x
-48 + 11x = -70 + 21x + -21x

Combine like terms: 21x + -21x = 0
-48 + 11x = -70 + 0
-48 + 11x = -70

Add '48' to each side of the equation.
-48 + 48 + 11x = -70 + 48

Combine like terms: -48 + 48 = 0
0 + 11x = -70 + 48
11x = -70 + 48

Combine like terms: -70 + 48 = -22
11x = -22

Divide each side by '11'.
x = -2

Simplifying
x = -2

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