2(x-9)+3=8x-7

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Solution for 2(x-9)+3=8x-7 equation:


Simplifying
2(x + -9) + 3 = 8x + -7

Reorder the terms:
2(-9 + x) + 3 = 8x + -7
(-9 * 2 + x * 2) + 3 = 8x + -7
(-18 + 2x) + 3 = 8x + -7

Reorder the terms:
-18 + 3 + 2x = 8x + -7

Combine like terms: -18 + 3 = -15
-15 + 2x = 8x + -7

Reorder the terms:
-15 + 2x = -7 + 8x

Solving
-15 + 2x = -7 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-15 + 2x + -8x = -7 + 8x + -8x

Combine like terms: 2x + -8x = -6x
-15 + -6x = -7 + 8x + -8x

Combine like terms: 8x + -8x = 0
-15 + -6x = -7 + 0
-15 + -6x = -7

Add '15' to each side of the equation.
-15 + 15 + -6x = -7 + 15

Combine like terms: -15 + 15 = 0
0 + -6x = -7 + 15
-6x = -7 + 15

Combine like terms: -7 + 15 = 8
-6x = 8

Divide each side by '-6'.
x = -1.333333333

Simplifying
x = -1.333333333

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