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

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


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

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

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

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

Reorder the terms:
-6 + 10x = 6 + -4 + 2x

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

Solving
-6 + 10x = 2 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-6 + 10x + -2x = 2 + 2x + -2x

Combine like terms: 10x + -2x = 8x
-6 + 8x = 2 + 2x + -2x

Combine like terms: 2x + -2x = 0
-6 + 8x = 2 + 0
-6 + 8x = 2

Add '6' to each side of the equation.
-6 + 6 + 8x = 2 + 6

Combine like terms: -6 + 6 = 0
0 + 8x = 2 + 6
8x = 2 + 6

Combine like terms: 2 + 6 = 8
8x = 8

Divide each side by '8'.
x = 1

Simplifying
x = 1

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