-3(x-6)+4(x+1)=7x-10

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Solution for -3(x-6)+4(x+1)=7x-10 equation: 


Simplifying
-3(x + -6) + 4(x + 1) = 7x + -10

Reorder the terms:
-3(-6 + x) + 4(x + 1) = 7x + -10
(-6 * -3 + x * -3) + 4(x + 1) = 7x + -10
(18 + -3x) + 4(x + 1) = 7x + -10

Reorder the terms:
18 + -3x + 4(1 + x) = 7x + -10
18 + -3x + (1 * 4 + x * 4) = 7x + -10
18 + -3x + (4 + 4x) = 7x + -10

Reorder the terms:
18 + 4 + -3x + 4x = 7x + -10

Combine like terms: 18 + 4 = 22
22 + -3x + 4x = 7x + -10

Combine like terms: -3x + 4x = 1x
22 + 1x = 7x + -10

Reorder the terms:
22 + 1x = -10 + 7x

Solving
22 + 1x = -10 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
22 + 1x + -7x = -10 + 7x + -7x

Combine like terms: 1x + -7x = -6x
22 + -6x = -10 + 7x + -7x

Combine like terms: 7x + -7x = 0
22 + -6x = -10 + 0
22 + -6x = -10

Add '-22' to each side of the equation.
22 + -22 + -6x = -10 + -22

Combine like terms: 22 + -22 = 0
0 + -6x = -10 + -22
-6x = -10 + -22

Combine like terms: -10 + -22 = -32
-6x = -32

Divide each side by '-6'.
x = 5.333333333

Simplifying
x = 5.333333333

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