4x-7+2(3x+10)=3(2x+5)-6

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Solution for 4x-7+2(3x+10)=3(2x+5)-6 equation:


Simplifying
4x + -7 + 2(3x + 10) = 3(2x + 5) + -6

Reorder the terms:
4x + -7 + 2(10 + 3x) = 3(2x + 5) + -6
4x + -7 + (10 * 2 + 3x * 2) = 3(2x + 5) + -6
4x + -7 + (20 + 6x) = 3(2x + 5) + -6

Reorder the terms:
-7 + 20 + 4x + 6x = 3(2x + 5) + -6

Combine like terms: -7 + 20 = 13
13 + 4x + 6x = 3(2x + 5) + -6

Combine like terms: 4x + 6x = 10x
13 + 10x = 3(2x + 5) + -6

Reorder the terms:
13 + 10x = 3(5 + 2x) + -6
13 + 10x = (5 * 3 + 2x * 3) + -6
13 + 10x = (15 + 6x) + -6

Reorder the terms:
13 + 10x = 15 + -6 + 6x

Combine like terms: 15 + -6 = 9
13 + 10x = 9 + 6x

Solving
13 + 10x = 9 + 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.
13 + 10x + -6x = 9 + 6x + -6x

Combine like terms: 10x + -6x = 4x
13 + 4x = 9 + 6x + -6x

Combine like terms: 6x + -6x = 0
13 + 4x = 9 + 0
13 + 4x = 9

Add '-13' to each side of the equation.
13 + -13 + 4x = 9 + -13

Combine like terms: 13 + -13 = 0
0 + 4x = 9 + -13
4x = 9 + -13

Combine like terms: 9 + -13 = -4
4x = -4

Divide each side by '4'.
x = -1

Simplifying
x = -1

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