-4(-2x+6)+10=4x+3(5x-1)

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Solution for -4(-2x+6)+10=4x+3(5x-1) equation:


Simplifying
-4(-2x + 6) + 10 = 4x + 3(5x + -1)

Reorder the terms:
-4(6 + -2x) + 10 = 4x + 3(5x + -1)
(6 * -4 + -2x * -4) + 10 = 4x + 3(5x + -1)
(-24 + 8x) + 10 = 4x + 3(5x + -1)

Reorder the terms:
-24 + 10 + 8x = 4x + 3(5x + -1)

Combine like terms: -24 + 10 = -14
-14 + 8x = 4x + 3(5x + -1)

Reorder the terms:
-14 + 8x = 4x + 3(-1 + 5x)
-14 + 8x = 4x + (-1 * 3 + 5x * 3)
-14 + 8x = 4x + (-3 + 15x)

Reorder the terms:
-14 + 8x = -3 + 4x + 15x

Combine like terms: 4x + 15x = 19x
-14 + 8x = -3 + 19x

Solving
-14 + 8x = -3 + 19x

Solving for variable 'x'.

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

Add '-19x' to each side of the equation.
-14 + 8x + -19x = -3 + 19x + -19x

Combine like terms: 8x + -19x = -11x
-14 + -11x = -3 + 19x + -19x

Combine like terms: 19x + -19x = 0
-14 + -11x = -3 + 0
-14 + -11x = -3

Add '14' to each side of the equation.
-14 + 14 + -11x = -3 + 14

Combine like terms: -14 + 14 = 0
0 + -11x = -3 + 14
-11x = -3 + 14

Combine like terms: -3 + 14 = 11
-11x = 11

Divide each side by '-11'.
x = -1

Simplifying
x = -1

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