10x-4(x-2)=12x+7(x+3)

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Solution for 10x-4(x-2)=12x+7(x+3) equation:


Simplifying
10x + -4(x + -2) = 12x + 7(x + 3)

Reorder the terms:
10x + -4(-2 + x) = 12x + 7(x + 3)
10x + (-2 * -4 + x * -4) = 12x + 7(x + 3)
10x + (8 + -4x) = 12x + 7(x + 3)

Reorder the terms:
8 + 10x + -4x = 12x + 7(x + 3)

Combine like terms: 10x + -4x = 6x
8 + 6x = 12x + 7(x + 3)

Reorder the terms:
8 + 6x = 12x + 7(3 + x)
8 + 6x = 12x + (3 * 7 + x * 7)
8 + 6x = 12x + (21 + 7x)

Reorder the terms:
8 + 6x = 21 + 12x + 7x

Combine like terms: 12x + 7x = 19x
8 + 6x = 21 + 19x

Solving
8 + 6x = 21 + 19x

Solving for variable 'x'.

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

Add '-19x' to each side of the equation.
8 + 6x + -19x = 21 + 19x + -19x

Combine like terms: 6x + -19x = -13x
8 + -13x = 21 + 19x + -19x

Combine like terms: 19x + -19x = 0
8 + -13x = 21 + 0
8 + -13x = 21

Add '-8' to each side of the equation.
8 + -8 + -13x = 21 + -8

Combine like terms: 8 + -8 = 0
0 + -13x = 21 + -8
-13x = 21 + -8

Combine like terms: 21 + -8 = 13
-13x = 13

Divide each side by '-13'.
x = -1

Simplifying
x = -1

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