4(3x-15)+2=2x+7

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Solution for 4(3x-15)+2=2x+7 equation:


Simplifying
4(3x + -15) + 2 = 2x + 7

Reorder the terms:
4(-15 + 3x) + 2 = 2x + 7
(-15 * 4 + 3x * 4) + 2 = 2x + 7
(-60 + 12x) + 2 = 2x + 7

Reorder the terms:
-60 + 2 + 12x = 2x + 7

Combine like terms: -60 + 2 = -58
-58 + 12x = 2x + 7

Reorder the terms:
-58 + 12x = 7 + 2x

Solving
-58 + 12x = 7 + 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.
-58 + 12x + -2x = 7 + 2x + -2x

Combine like terms: 12x + -2x = 10x
-58 + 10x = 7 + 2x + -2x

Combine like terms: 2x + -2x = 0
-58 + 10x = 7 + 0
-58 + 10x = 7

Add '58' to each side of the equation.
-58 + 58 + 10x = 7 + 58

Combine like terms: -58 + 58 = 0
0 + 10x = 7 + 58
10x = 7 + 58

Combine like terms: 7 + 58 = 65
10x = 65

Divide each side by '10'.
x = 6.5

Simplifying
x = 6.5

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