2(4x-9)+46=-6(x-7)+16x-14

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Solution for 2(4x-9)+46=-6(x-7)+16x-14 equation:


Simplifying
2(4x + -9) + 46 = -6(x + -7) + 16x + -14

Reorder the terms:
2(-9 + 4x) + 46 = -6(x + -7) + 16x + -14
(-9 * 2 + 4x * 2) + 46 = -6(x + -7) + 16x + -14
(-18 + 8x) + 46 = -6(x + -7) + 16x + -14

Reorder the terms:
-18 + 46 + 8x = -6(x + -7) + 16x + -14

Combine like terms: -18 + 46 = 28
28 + 8x = -6(x + -7) + 16x + -14

Reorder the terms:
28 + 8x = -6(-7 + x) + 16x + -14
28 + 8x = (-7 * -6 + x * -6) + 16x + -14
28 + 8x = (42 + -6x) + 16x + -14

Reorder the terms:
28 + 8x = 42 + -14 + -6x + 16x

Combine like terms: 42 + -14 = 28
28 + 8x = 28 + -6x + 16x

Combine like terms: -6x + 16x = 10x
28 + 8x = 28 + 10x

Add '-28' to each side of the equation.
28 + -28 + 8x = 28 + -28 + 10x

Combine like terms: 28 + -28 = 0
0 + 8x = 28 + -28 + 10x
8x = 28 + -28 + 10x

Combine like terms: 28 + -28 = 0
8x = 0 + 10x
8x = 10x

Solving
8x = 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
8x + -10x = 10x + -10x

Combine like terms: 8x + -10x = -2x
-2x = 10x + -10x

Combine like terms: 10x + -10x = 0
-2x = 0

Divide each side by '-2'.
x = 0

Simplifying
x = 0

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