7x+3(x+2)-5=4x-2(6-x)

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Solution for 7x+3(x+2)-5=4x-2(6-x) equation:


Simplifying
7x + 3(x + 2) + -5 = 4x + -2(6 + -1x)

Reorder the terms:
7x + 3(2 + x) + -5 = 4x + -2(6 + -1x)
7x + (2 * 3 + x * 3) + -5 = 4x + -2(6 + -1x)
7x + (6 + 3x) + -5 = 4x + -2(6 + -1x)

Reorder the terms:
6 + -5 + 7x + 3x = 4x + -2(6 + -1x)

Combine like terms: 6 + -5 = 1
1 + 7x + 3x = 4x + -2(6 + -1x)

Combine like terms: 7x + 3x = 10x
1 + 10x = 4x + -2(6 + -1x)
1 + 10x = 4x + (6 * -2 + -1x * -2)
1 + 10x = 4x + (-12 + 2x)

Reorder the terms:
1 + 10x = -12 + 4x + 2x

Combine like terms: 4x + 2x = 6x
1 + 10x = -12 + 6x

Solving
1 + 10x = -12 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
1 + 10x + -6x = -12 + 6x + -6x

Combine like terms: 10x + -6x = 4x
1 + 4x = -12 + 6x + -6x

Combine like terms: 6x + -6x = 0
1 + 4x = -12 + 0
1 + 4x = -12

Add '-1' to each side of the equation.
1 + -1 + 4x = -12 + -1

Combine like terms: 1 + -1 = 0
0 + 4x = -12 + -1
4x = -12 + -1

Combine like terms: -12 + -1 = -13
4x = -13

Divide each side by '4'.
x = -3.25

Simplifying
x = -3.25

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