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Simplifying 2(3x + -4) = 4(onehalfx + -8) Reorder the terms: 2(-4 + 3x) = 4(onehalfx + -8) (-4 * 2 + 3x * 2) = 4(onehalfx + -8) (-8 + 6x) = 4(onehalfx + -8) Reorder the terms: -8 + 6x = 4(-8 + aefhlnox) -8 + 6x = (-8 * 4 + aefhlnox * 4) -8 + 6x = (-32 + 4aefhlnox) Solving -8 + 6x = -32 + 4aefhlnox Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4aefhlnox' to each side of the equation. -8 + -4aefhlnox + 6x = -32 + 4aefhlnox + -4aefhlnox Combine like terms: 4aefhlnox + -4aefhlnox = 0 -8 + -4aefhlnox + 6x = -32 + 0 -8 + -4aefhlnox + 6x = -32 Add '8' to each side of the equation. -8 + -4aefhlnox + 8 + 6x = -32 + 8 Reorder the terms: -8 + 8 + -4aefhlnox + 6x = -32 + 8 Combine like terms: -8 + 8 = 0 0 + -4aefhlnox + 6x = -32 + 8 -4aefhlnox + 6x = -32 + 8 Combine like terms: -32 + 8 = -24 -4aefhlnox + 6x = -24 Reorder the terms: 24 + -4aefhlnox + 6x = -24 + 24 Combine like terms: -24 + 24 = 0 24 + -4aefhlnox + 6x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(12 + -2aefhlnox + 3x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(12 + -2aefhlnox + 3x)' equal to zero and attempt to solve: Simplifying 12 + -2aefhlnox + 3x = 0 Solving 12 + -2aefhlnox + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -2aefhlnox + -12 + 3x = 0 + -12 Reorder the terms: 12 + -12 + -2aefhlnox + 3x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -2aefhlnox + 3x = 0 + -12 -2aefhlnox + 3x = 0 + -12 Combine like terms: 0 + -12 = -12 -2aefhlnox + 3x = -12 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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