3(2x+3)-4(-x+1)=7x-10

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Solution for 3(2x+3)-4(-x+1)=7x-10 equation: 


Simplifying
3(2x + 3) + -4(-1x + 1) = 7x + -10

Reorder the terms:
3(3 + 2x) + -4(-1x + 1) = 7x + -10
(3 * 3 + 2x * 3) + -4(-1x + 1) = 7x + -10
(9 + 6x) + -4(-1x + 1) = 7x + -10

Reorder the terms:
9 + 6x + -4(1 + -1x) = 7x + -10
9 + 6x + (1 * -4 + -1x * -4) = 7x + -10
9 + 6x + (-4 + 4x) = 7x + -10

Reorder the terms:
9 + -4 + 6x + 4x = 7x + -10

Combine like terms: 9 + -4 = 5
5 + 6x + 4x = 7x + -10

Combine like terms: 6x + 4x = 10x
5 + 10x = 7x + -10

Reorder the terms:
5 + 10x = -10 + 7x

Solving
5 + 10x = -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.
5 + 10x + -7x = -10 + 7x + -7x

Combine like terms: 10x + -7x = 3x
5 + 3x = -10 + 7x + -7x

Combine like terms: 7x + -7x = 0
5 + 3x = -10 + 0
5 + 3x = -10

Add '-5' to each side of the equation.
5 + -5 + 3x = -10 + -5

Combine like terms: 5 + -5 = 0
0 + 3x = -10 + -5
3x = -10 + -5

Combine like terms: -10 + -5 = -15
3x = -15

Divide each side by '3'.
x = -5

Simplifying
x = -5

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