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

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


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

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

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

Combine like terms: -2 + 10 = 8
8 + 2x = 4 + 3(6x + -5)

Reorder the terms:
8 + 2x = 4 + 3(-5 + 6x)
8 + 2x = 4 + (-5 * 3 + 6x * 3)
8 + 2x = 4 + (-15 + 18x)

Combine like terms: 4 + -15 = -11
8 + 2x = -11 + 18x

Solving
8 + 2x = -11 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
8 + 2x + -18x = -11 + 18x + -18x

Combine like terms: 2x + -18x = -16x
8 + -16x = -11 + 18x + -18x

Combine like terms: 18x + -18x = 0
8 + -16x = -11 + 0
8 + -16x = -11

Add '-8' to each side of the equation.
8 + -8 + -16x = -11 + -8

Combine like terms: 8 + -8 = 0
0 + -16x = -11 + -8
-16x = -11 + -8

Combine like terms: -11 + -8 = -19
-16x = -19

Divide each side by '-16'.
x = 1.1875

Simplifying
x = 1.1875

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